Class 9 Mathematics - MIX - Laws of Exponents Easy Quiz

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\(x^3\) की घात कितनी है?

What is the exponent in \(x^3\)?

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Correct Answer

D. (3)

Step 1

Concept

In \(x^3\), the number (3) written above (x) is the exponent. The exponent tells the power of the variable.

Step 2

Why this answer is correct

The correct answer is D. (3). In \(x^3\), the number (3) written above (x) is the exponent. The exponent tells the power of the variable.

Step 3

Exam Tip

\(x^3\) में (x) के ऊपर लिखी संख्या (3) घात है। घात चर की शक्ति बताती है।

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\(x^2\cdot x^3\) का मान क्या है?

What is \(x^2\cdot x^3\)?

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Correct Answer

A. \(x^5\)

Step 1

Concept

When powers with the same base are multiplied, exponents are added. So \(x^2\cdot x^3=x^5\).

Step 2

Why this answer is correct

The correct answer is A. \(x^5\). When powers with the same base are multiplied, exponents are added. So \(x^2\cdot x^3=x^5\).

Step 3

Exam Tip

एक ही आधार की घातों को गुणा करते समय घातें जुड़ती हैं। इसलिए \(x^2\cdot x^3=x^5\)।

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

What is the value of \(p^0\) if \(p\neq0\)?

Explanation opens after your attempt
Correct Answer

C. (1)

Step 1

Concept

The zero power of any non-zero number or variable is (1). This is a basic exponent rule.

Step 2

Why this answer is correct

The correct answer is C. (1). The zero power of any non-zero number or variable is (1). This is a basic exponent rule.

Step 3

Exam Tip

किसी भी अशून्य संख्या या चर की शून्य घात (1) होती है। यह घात नियम का मूल तथ्य है।

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