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Exponents in Fractions

Question 19In...

Question

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) $\frac{- 7}{5}$

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Solution

Using law of exponents, $a^{- n} = \frac{1}{a^{m}} ∴ {(\frac{- 7}{5})}^{- 1} = \frac{1}{(\frac{- 7}{5})} = (- \frac{5}{7})$

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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 21

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

For a non-zero integer $x, x^{7} \div x^{12}$ is equal to:
(a) $x^{5}$
(b) $x^{19}$
(c) $x^{- 5}$
(d) $x^{- 19}$

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

5 A \times A = 399

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