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zero-exponent MCQ Questions for Class 10

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20 questions tagged with zero-exponent.

Question 1/20 Hard Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 45

कौन-सा कथन \(a\neq0\) के लिए हमेशा सही है?

Which statement is always true for \(a\neq0\)?

Explanation opens after your attempt
Correct Answer

A. \(a^{0}=1\)

Step 1

Concept

For \(a\neq0\), \(a^{0}=1\) is always true. In exams, do not include \(0^{0}\) in this rule.

Step 2

Why this answer is correct

The correct answer is A. \(a^{0}=1\). For \(a\neq0\), \(a^{0}=1\) is always true. In exams, do not include \(0^{0}\) in this rule.

Step 3

Exam Tip

\(a\neq0\) होने पर \(a^{0}=1\) हमेशा सही है। परीक्षा में \(0^{0}\) को इस नियम में शामिल न करें।

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Question 2/20 Hard Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 44

यदि \(x \neq 0\), तो (\dfrac{\(5x^2\)0+x-0}{2^{-1}}) का मान क्या है?

If \(x \neq 0\), what is the value of (\dfrac{\(5x^2\)0+x-0}{2^{-1}})?

Explanation opens after your attempt
Correct Answer

A. (,4,)

Step 1

Concept

Because (\(5x^2\)0=1), \(x^0=1\), and \(2^{-1}=\dfrac{1}{2}\), the value is (4). In exams, apply the zero exponent rule only to a non-zero base.

Step 2

Why this answer is correct

The correct answer is A. (,4,). Because (\(5x^2\)0=1), \(x^0=1\), and \(2^{-1}=\dfrac{1}{2}\), the value is (4). In exams, apply the zero exponent rule only to a non-zero base.

Step 3

Exam Tip

क्योंकि (\(5x^2\)0=1), \(x^0=1\) और \(2^{-1}=\dfrac{1}{2}\), इसलिए मान (4) है। परीक्षा में शून्य घात का नियम केवल non-zero आधार पर लगाएं।

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Question 3/20 Medium Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 45

(\left\(5^2\right\)0+2^{-3}) का मान क्या है?

What is the value of (\left\(5^2\right\)0+2^{-3})?

Explanation opens after your attempt
Correct Answer

B. \(\frac{9}{8}\)

Step 1

Concept

(\left\(5^2\right\)0=1) and \(2^{-3}=\frac{1}{8}\). Therefore the sum is \(\frac{9}{8}\).

Step 2

Why this answer is correct

The correct answer is B. \(\frac{9}{8}\). (\left\(5^2\right\)0=1) and \(2^{-3}=\frac{1}{8}\). Therefore the sum is \(\frac{9}{8}\).

Step 3

Exam Tip

(\left\(5^2\right\)0=1) और \(2^{-3}=\frac{1}{8}\) है। इसलिए योग \(\frac{9}{8}\) है।

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Question 4/20 Medium Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 44

(\left\(3^2\right\)0+4^{-1}) का मान क्या है?

What is the value of (\left\(3^2\right\)0+4^{-1})?

Explanation opens after your attempt
Correct Answer

B. \(\frac{5}{4}\)

Step 1

Concept

(\left\(3^2\right\)0=1) and \(4^{-1}=\frac{1}{4}\). Therefore the sum is \(\frac{5}{4}\).

Step 2

Why this answer is correct

The correct answer is B. \(\frac{5}{4}\). (\left\(3^2\right\)0=1) and \(4^{-1}=\frac{1}{4}\). Therefore the sum is \(\frac{5}{4}\).

Step 3

Exam Tip

(\left\(3^2\right\)0=1) और \(4^{-1}=\frac{1}{4}\) है। इसलिए योग \(\frac{5}{4}\) है।

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Question 5/20 Medium Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 43

(\left\(2^3\right\)0+5^{-1}) का मान क्या है?

What is the value of (\left\(2^3\right\)0+5^{-1})?

Explanation opens after your attempt
Correct Answer

B. \(\frac{6}{5}\)

Step 1

Concept

(\left\(2^3\right\)0=1) and \(5^{-1}=\frac{1}{5}\). Therefore the sum is \(\frac{6}{5}\).

Step 2

Why this answer is correct

The correct answer is B. \(\frac{6}{5}\). (\left\(2^3\right\)0=1) and \(5^{-1}=\frac{1}{5}\). Therefore the sum is \(\frac{6}{5}\).

Step 3

Exam Tip

(\left\(2^3\right\)0=1) और \(5^{-1}=\frac{1}{5}\) है। इसलिए योग \(\frac{6}{5}\) है।

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Question 6/20 Easy Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 45

यदि \(a\neq0\), \(b\neq0\) और \(c\neq0\) हैं तो \(a^0+b^0+c^0\) का मान क्या है?

If \(a\neq0\), \(b\neq0\), and \(c\neq0\), what is the value of \(a^0+b^0+c^0\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

The zero power of every non-zero base is (1). Hence \(a^0+b^0+c^0=3\).

Step 2

Why this answer is correct

The correct answer is C. (3). The zero power of every non-zero base is (1). Hence \(a^0+b^0+c^0=3\).

Step 3

Exam Tip

हर अशून्य आधार की शून्य घात (1) होती है। इसलिए \(a^0+b^0+c^0=3\) है।

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Question 7/20 Easy Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 45

\(4^0+5^2\) का मान क्या है?

What is the value of \(4^0+5^2\)?

Explanation opens after your attempt
Correct Answer

B. (26)

Step 1

Concept

Here \(4^0=1\) and \(5^2=25\). Therefore (1+25=26).

Step 2

Why this answer is correct

The correct answer is B. (26). Here \(4^0=1\) and \(5^2=25\). Therefore (1+25=26).

Step 3

Exam Tip

यहाँ \(4^0=1\) और \(5^2=25\) है। इसलिए (1+25=26) है।

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Question 8/20 Easy Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 45

यदि \(c\neq0\) है तो \(c^0\) का मान क्या है?

If \(c\neq0\), what is the value of \(c^0\)?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

The zero power of any non-zero base is (1). Therefore \(c^0=1\).

Step 2

Why this answer is correct

The correct answer is B. (1). The zero power of any non-zero base is (1). Therefore \(c^0=1\).

Step 3

Exam Tip

किसी भी अशून्य आधार की शून्य घात (1) होती है। इसलिए \(c^0=1\) है।

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Question 9/20 Easy Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 44

यदि \(u\neq0\) और \(v\neq0\) हैं तो \(u^0+v^0+2^0\) का मान क्या है?

If \(u\neq0\) and \(v\neq0\), what is the value of \(u^0+v^0+2^0\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

The zero power of every non-zero base is (1). Hence \(u^0+v^0+2^0=3\).

Step 2

Why this answer is correct

The correct answer is C. (3). The zero power of every non-zero base is (1). Hence \(u^0+v^0+2^0=3\).

Step 3

Exam Tip

हर अशून्य आधार की शून्य घात (1) होती है। इसलिए \(u^0+v^0+2^0=3\) है।

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Question 10/20 Easy Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 44

\(9^0+3^2\) का मान क्या है?

What is the value of \(9^0+3^2\)?

Explanation opens after your attempt
Correct Answer

B. (10)

Step 1

Concept

Here \(9^0=1\) and \(3^2=9\). Therefore (1+9=10).

Step 2

Why this answer is correct

The correct answer is B. (10). Here \(9^0=1\) and \(3^2=9\). Therefore (1+9=10).

Step 3

Exam Tip

यहाँ \(9^0=1\) और \(3^2=9\) है। इसलिए (1+9=10) है।

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Question 11/20 Easy Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 44

यदि \(b\neq0\) है तो \(b^0\) का मान क्या है?

If \(b\neq0\), what is the value of \(b^0\)?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

The zero power of any non-zero number is (1). Remember the condition \(b\neq0\).

Step 2

Why this answer is correct

The correct answer is B. (1). The zero power of any non-zero number is (1). Remember the condition \(b\neq0\).

Step 3

Exam Tip

किसी भी अशून्य संख्या की शून्य घात (1) होती है। शर्त \(b\neq0\) याद रखें।

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Question 12/20 Easy Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 43

(\left\(\frac{2}{3}\right\)0+\left\(\frac{1}{2}\right\)2) का मान क्या है?

What is the value of (\left\(\frac{2}{3}\right\)0+\left\(\frac{1}{2}\right\)2)?

Explanation opens after your attempt
Correct Answer

C. \(\frac{5}{4}\)

Step 1

Concept

Here (\left\(\frac{2}{3}\right\)0=1) and (\left\(\frac{1}{2}\right\)2=\frac{1}{4}). Therefore the sum is \(\frac{5}{4}\).

Step 2

Why this answer is correct

The correct answer is C. \(\frac{5}{4}\). Here (\left\(\frac{2}{3}\right\)0=1) and (\left\(\frac{1}{2}\right\)2=\frac{1}{4}). Therefore the sum is \(\frac{5}{4}\).

Step 3

Exam Tip

(\left\(\frac{2}{3}\right\)0=1) और (\left\(\frac{1}{2}\right\)2=\frac{1}{4}) है। इसलिए योग \(\frac{5}{4}\) है।

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Question 13/20 Easy Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 43

\(m^0+n^0\) का मान क्या है यदि \(m\neq0\) और \(n\neq0\)?

What is the value of \(m^0+n^0\) if \(m\neq0\) and \(n\neq0\)?

Explanation opens after your attempt
Correct Answer

C. (2)

Step 1

Concept

The zero power of a non-zero number is (1). So \(m^0+n^0=1+1=2\).

Step 2

Why this answer is correct

The correct answer is C. (2). The zero power of a non-zero number is (1). So \(m^0+n^0=1+1=2\).

Step 3

Exam Tip

अशून्य संख्या की शून्य घात (1) होती है। इसलिए \(m^0+n^0=1+1=2\) है।

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Question 14/20 Easy Mathematics Polynomials Operations on real numbers and the laws of exponents Class 10 Level 43

यदि \(a\neq0\) है तो \(a^0\) का मान क्या होता है?

If \(a\neq0\), what is the value of \(a^0\)?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

The zero power of any non-zero number is (1). Remember that \(0^0\) is not considered here.

Step 2

Why this answer is correct

The correct answer is B. (1). The zero power of any non-zero number is (1). Remember that \(0^0\) is not considered here.

Step 3

Exam Tip

किसी भी अशून्य संख्या की शून्य घात (1) होती है। ध्यान रखें कि \(0^0\) को यहाँ नहीं लेते।

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Question 15/20 Expert Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 21

यदि सरलतम हर \(q=2^5\cdot 5^5\cdot 7^0\) है तो दशमलव प्रसार के बारे में क्या निश्चित है?

If the reduced denominator is \(q=2^5\cdot 5^5\cdot 7^0\), what is certain about the decimal expansion?

Explanation opens after your attempt
Correct Answer

A. ठीक (5) स्थानों पर समाप्तTerminates exactly after (5) places

Step 1

Concept

Since \(7^0=1\), the effective denominator is \(2^5\cdot 5^5=10^5\). The decimal terminates exactly after (5) places.

Step 2

Why this answer is correct

The correct answer is A. ठीक (5) स्थानों पर समाप्त / Terminates exactly after (5) places. Since \(7^0=1\), the effective denominator is \(2^5\cdot 5^5=10^5\). The decimal terminates exactly after (5) places.

Step 3

Exam Tip

\(7^0=1\) है इसलिए प्रभावी हर \(2^5\cdot 5^5=10^5\) है। दशमलव ठीक (5) स्थानों पर समाप्त होगा।

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Question 16/20 Expert Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 21

किसी भिन्न का सरलतम हर \(2^5\cdot 5^2\cdot 7^0\cdot 19^0\) है। दशमलव प्रसार कैसा होगा?

A fraction has reduced denominator \(2^5\cdot 5^2\cdot 7^0\cdot 19^0\). What type of decimal expansion will it have?

Explanation opens after your attempt
Correct Answer

A. सांत और (5) स्थानों पर समाप्तTerminating after (5) places

Step 1

Concept

Both \(7^0\) and \(19^0\) equal (1), so the effective denominator is \(2^5\cdot 5^2\). The larger exponent is (5), so the decimal terminates after (5) places.

Step 2

Why this answer is correct

The correct answer is A. सांत और (5) स्थानों पर समाप्त / Terminating after (5) places. Both \(7^0\) and \(19^0\) equal (1), so the effective denominator is \(2^5\cdot 5^2\). The larger exponent is (5), so the decimal terminates after (5) places.

Step 3

Exam Tip

\(7^0\) और \(19^0\) दोनों (1) हैं इसलिए प्रभावी हर \(2^5\cdot 5^2\) है। बड़ी घात (5) होने से दशमलव (5) स्थानों पर समाप्त होगा।

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Question 17/20 Expert Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 20

किसी भिन्न का सरलतम हर \(2^4\cdot 5^3\cdot 3^0\cdot 17^0\) है। दशमलव प्रसार कैसा होगा?

A fraction has reduced denominator \(2^4\cdot 5^3\cdot 3^0\cdot 17^0\). What type of decimal expansion will it have?

Explanation opens after your attempt
Correct Answer

A. सांत और (4) स्थानों पर समाप्तTerminating after (4) places

Step 1

Concept

Both \(3^0\) and \(17^0\) equal (1), so the effective denominator is \(2^4\cdot 5^3\). The larger exponent is (4), so the decimal terminates after (4) places.

Step 2

Why this answer is correct

The correct answer is A. सांत और (4) स्थानों पर समाप्त / Terminating after (4) places. Both \(3^0\) and \(17^0\) equal (1), so the effective denominator is \(2^4\cdot 5^3\). The larger exponent is (4), so the decimal terminates after (4) places.

Step 3

Exam Tip

\(3^0\) और \(17^0\) दोनों (1) हैं इसलिए प्रभावी हर \(2^4\cdot 5^3\) है। बड़ी घात (4) होने से दशमलव (4) स्थानों पर समाप्त होगा।

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Question 18/20 Expert Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 19

किसी भिन्न का सरलतम हर \(2^3\cdot 5^2\cdot 3^0\cdot 11^0\) है। दशमलव प्रसार कैसा होगा?

A fraction has reduced denominator \(2^3\cdot 5^2\cdot 3^0\cdot 11^0\). What type of decimal expansion will it have?

Explanation opens after your attempt
Correct Answer

A. सांत और (3) स्थानों पर समाप्तTerminating after (3) places

Step 1

Concept

Both \(3^0\) and \(11^0\) equal (1), so the effective denominator is \(2^3\cdot 5^2\). The larger exponent is (3), so the decimal terminates after (3) places.

Step 2

Why this answer is correct

The correct answer is A. सांत और (3) स्थानों पर समाप्त / Terminating after (3) places. Both \(3^0\) and \(11^0\) equal (1), so the effective denominator is \(2^3\cdot 5^2\). The larger exponent is (3), so the decimal terminates after (3) places.

Step 3

Exam Tip

\(3^0\) और \(11^0\) दोनों (1) हैं, इसलिए हर में केवल \(2^3\cdot 5^2\) प्रभावी है। बड़ी घात (3) है, इसलिए दशमलव (3) स्थानों पर समाप्त होगा।

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Question 19/20 Hard Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 20

सरलतम रूप में हर \(2^5\cdot 5^3\cdot 7^0\) हो, तो दशमलव प्रसार कैसा होगा?

If the denominator in lowest form is \(2^5\cdot 5^3\cdot 7^0\), what type of decimal expansion will it have?

Explanation opens after your attempt
Correct Answer

A. सांत और (5) दशमलव स्थानTerminating with (5) decimal places

Step 1

Concept

\(7^0=1\), so there is no actual factor (7) in the denominator.

Step 2

Why this answer is correct

The denominator is \(2^5\cdot 5^3\), so the decimal terminates with (5) places.

Step 3

Exam Tip

Do not get confused by a zero exponent. चरण 1: \(7^0=1\), इसलिए हर में (7) का वास्तविक गुणनखंड नहीं है। चरण 2: हर \(2^5\cdot 5^3\) है, इसलिए दशमलव सांत होगा और बड़ी घात (5) स्थान देगी। चरण 3: शून्य घात को देखकर भ्रमित न हों।

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Question 20/20 Hard Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 19

यदि \(\frac{p}{q}\) सरलतम रूप में है और \(q=2^2\cdot 5^3\cdot 3^0\), तो दशमलव प्रसार के लिए सही निष्कर्ष क्या है?

If \(\frac{p}{q}\) is in lowest form and \(q=2^2\cdot 5^3\cdot 3^0\), what is the correct conclusion about the decimal expansion?

Explanation opens after your attempt
Correct Answer

B. सांत, क्योंकि \(3^0=1\) हैTerminating because \(3^0=1\)

Step 1

Concept

\(3^0=1\), so there is actually no factor (3) in the denominator.

Step 2

Why this answer is correct

The denominator is \(2^2\cdot 5^3\), containing only (2) and (5). Hence the decimal terminates.

Step 3

Exam Tip

Do not get confused by a zero exponent. चरण 1: \(3^0=1\), इसलिए हर में वास्तव में (3) का गुणनखंड नहीं है। चरण 2: हर \(2^2\cdot 5^3\) ही है, जिसमें केवल (2) और (5) हैं। इसलिए दशमलव सांत होगा। चरण 3: शून्य घात को लेकर भ्रम न करें।

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