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Powers with Positive and Negative Exponents

Question 28In...

Question

Question 28

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

${(\frac{3}{4})}^{5} \div {(\frac{5}{3})}^{5}$ is equal to

(a) ${(\frac{3}{4} \div \frac{5}{3})}^{5}$

(b) ${(\frac{3}{4} \div \frac{5}{3})}^{1}$

(c) ${(\frac{3}{4} \div \frac{5}{3})}^{0}$

(d) ${(\frac{3}{4} \div \frac{5}{3})}^{10}$

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Solution

Using law of exponents $a^{m} \div b^{m} = (a \div b)^{m} ∴ {(\frac{3}{4})}^{5} \div {(\frac{5}{3})}^{5} = {(\frac{3}{4} \div \frac{5}{3})}^{5}$

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Similar questions

Question 28

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

${(\frac{3}{4})}^{5} \div {(\frac{5}{3})}^{5}$ is equal to

(a) ${(\frac{3}{4} \div \frac{5}{3})}^{5}$

(b) ${(\frac{3}{4} \div \frac{5}{3})}^{1}$

(d) ${(\frac{3}{4} \div \frac{5}{3})}^{10}$

Question 5

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

The value fo $3^{5} \div 3^{- 6}$ is :
(a) $3^{5}$
(b) $3^{- 6}$
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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) ${(\frac{4}{3})}^{2}$

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