Question

Question 20

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

$(-9{)}^3÷(-9{)}^8$ is equal to:
(a) $(9{)}^5$
(b) $(9{)}^{-5}$
(c) $(-9{)}^5$
(d) $(-9{)}^{-5}$

Answer 1

Given, $(-9{)}^3÷(-9{)}^8$
Using law of exponents, $a^m+a^n=(a{)}^{m-n}\therefore (-9{)}^3÷(-9{)}^8=(-9{)}^{3-8}=(-9{)}^{-5}$