Power of a Power

Question 30In...

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Question 30

In the following question, out of the four options, only one is correct. Write the correct answer.

For a non-zero rational number $p^{13} \div p^{8}$ is equal to :

(a) $p^{5}$

(b) $p^{21}$

(c) $p^{- 5}$

(d) $p^{- 19}$

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Solution

Using law of exponents , $a^{m} \div a^{n} = (a)^{m - n}$
Similarly $p^{13} \div p^{8} = (p)^{13 - 8} = (p)^{5}$

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