Assertion (A): a^(-m) = 1/a^m for any non-zero number a. Reason (R): A negative exponent indicates the reciprocal of the base raised to the positive exponent. Which is correct?

Question

Accepted Answer

Both A and R are true and R correctly explains A. a^(-m) = 1/a^m is the definition of a negative exponent, and the reason precisely states why this holds, so R explains A.

Assertion (A): $a^{- m} = \frac{1}{a ^{m}}$ for any non-zero number a. Reason (R): A negative exponent indicates the reciprocal of the base raised to the positive exponent. Which is correct?

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Assertion (A): a−m=am1​ for any non-zero number a. Reason (R): A negative exponent indicates the reciprocal of the base raised to the positive exponent. Which is correct?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Exponents and Powers practice

Assertion (A): $a^{- m} = \frac{1}{a ^{m}}$ for any non-zero number a. Reason (R): A negative exponent indicates the reciprocal of the base raised to the positive exponent. Which is correct?