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Product Law of Exponent

Question 28 I...

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

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 11

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

The value of S in $\frac{1}{3} + S = \frac{2}{5}$ is :

(a) $\frac{4}{5}$

(b) $\frac{1}{15}$

(d) 0

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