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(a^m)^n=a^mn and a^0 = 1

Question 20In...

Question

Question 20

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

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

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Solution

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

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Question 20

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

$(- 9)^{3} \div (- 9)^{8}$ is equal to:
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(b) $(9)^{- 5}$
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(d) $(- 9)^{- 5}$

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(a^m)^n=a^mn and a^0 = 1

Standard VI Mathematics

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