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Standard VI

Mathematics

(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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Similar questions

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 19

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

${(\frac{- 7}{5})}^{- 1}$ is equal to:
(a) $\frac{5}{7}$
(b) - $\frac{5}{7}$
(c) $\frac{7}{5}$
(d) $\frac{- 7}{5}$

Question 11

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

The multiplicative inverse of ${(- \frac{5}{9})}^{- 99}$ is:
(a) ${(- \frac{5}{9})}^{99}$
(b) ${(\frac{5}{9})}^{99}$
(c) ${(- \frac{9}{- 5})}^{99}$
(d) ${(- \frac{9}{5})}^{99}$

Question 31

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

For a non-zero rational number $z, (z^{- 2})^{3}$ is equal to:

(a) $z^{6}$

(b) $z^{- 6}$

(d) $z^{4}$

Question 12

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

If $\frac{- 4}{3} y = - \frac{3}{4},$ then y is equal to:

(a) ${(\frac{- 3}{4})}^{2}$

(b) ${(\frac{- 4}{3})}^{2}$

(d) ${(\frac{4}{3})}^{2}$

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

Standard VI Mathematics

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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÷(−9)8 is equal to: (a) (9)5 (b) (9)−5 (c) (−9)5 (d) (−9)−5

Given, (−9)3÷(−9)8 Using law of exponents, am+an=(a)m−n∴(−9)3÷(−9)8=(−9)3−8=(−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) $(- 9)^{- 5}$

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