According to the question,(–9)^3 ÷ (–9)^8 ( Use the law of exponents: a^m ÷ a^n=a^m n)( 9)^3 8 ( Solved 3 8 = 5)( 9 )^ 5Match ( 9 )^ 5from the given options, t ...

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Powers with Negative Exponents

–93 ÷ –98is e...

Question

${(- 9)}^{3} \div {(- 9)}^{8}$ is equal to

${(9)}^{5}$

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${(9)}^{- 5}$

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${(- 9)}^{5}$

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${(- 9)}^{- 5}$

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Solution

The correct option is D
${(- 9)}^{- 5}$

According to the question,
${(- 9)}^{3} \div {(- 9)}^{8}$ ( Use the law of exponents: $a^{m} \div a^{n} = a^{m - n}$ )
${(- 9)}^{3 - 8}$ ( Solved $3 - 8 = - 5$ )
${(9)}^{- 5}$
Match ${(9)}^{- 5}$ from the given options, the option $(d)$ is the correct option
so, ${(- 9)}^{3} \div {(- 9)}^{8}$ equals to ${(9)}^{- 5}$
Hence, the option $(d)$ is the correct option

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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:
(a) $(9)^{5}$
(b) $(9)^{- 5}$
(c) $(- 9)^{5}$
(d) $(- 9)^{- 5}$

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) $(- 9)^{- 5}$

Th square of 98 is equal to

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(–9)3÷(–9)8is equal to

The correct option is D (–9)-5According to the question,(–9)3÷(–9)8 ( Use the law of exponents: am÷an=am-n)(-9)3-8 ( Solved 3-8=-5)(9)-5Match (9)-5from the given options, the option (d)is the correct optionso, (–9)3÷(–9)8equals to (9)-5Hence, the option (d)is the correct option

${(- 9)}^{3} \div {(- 9)}^{8}$ is equal to