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

(\left\(9^{2}\right\)^{3}\div 3^{10}) का मान क्या है?

What is the value of (\left\(9^{2}\right\)^{3}\div 3^{10})?

Explanation opens after your attempt
Correct Answer

B. \(3^{2}\)

Step 1

Concept

Here (\left\(9^{2}\right\)^{3}=\(3^{2}\)^{6}=3^{12}), and \(3^{12}\div3^{10}=3^{2}\). In exams, write (9) as \(3^{2}\).

Step 2

Why this answer is correct

The correct answer is B. \(3^{2}\). Here (\left\(9^{2}\right\)^{3}=\(3^{2}\)^{6}=3^{12}), and \(3^{12}\div3^{10}=3^{2}\). In exams, write (9) as \(3^{2}\).

Step 3

Exam Tip

(\left\(9^{2}\right\)^{3}=\(3^{2}\)^{6}=3^{12}), और \(3^{12}\div3^{10}=3^{2}\)। परीक्षा में (9) को \(3^{2}\) लिखें।

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

यदि (a>0) और \(a\neq 1\), तो \(\frac{a^{m+2}\cdot a^{3-m}}{a^{4}}\) किसके बराबर है?

If (a>0) and \(a\neq 1\), then \(\frac{a^{m+2}\cdot a^{3-m}}{a^{4}}\) is equal to which expression?

Explanation opens after your attempt
Correct Answer

A. (a)

Step 1

Concept

The numerator exponent is ((m+2)+(3-m)=5), and \(\frac{a^{5}}{a^{4}}=a\). In exams, add and subtract exponents only for the same base.

Step 2

Why this answer is correct

The correct answer is A. (a). The numerator exponent is ((m+2)+(3-m)=5), and \(\frac{a^{5}}{a^{4}}=a\). In exams, add and subtract exponents only for the same base.

Step 3

Exam Tip

ऊपर की घातें ((m+2)+(3-m)=5) हैं और \(\frac{a^{5}}{a^{4}}=a\)। परीक्षा में समान आधार की घातों को जोड़ना और घटाना याद रखें।

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