Question 10

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

The value of ${(\frac{- 2}{3})}^{4}$ is equal to:
(a) $\frac{16}{81}$
(b) $\frac{81}{16}$
(c) $\frac{- 16}{81}$
(d) $\frac{81}{- 16}$

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Solution

${(\frac{- 2}{3})}^{4} = (\frac{- 2}{3}) \times (\frac{- 2}{3}) \times (\frac{- 2}{3}) \times (\frac{- 2}{3}) = \frac{16}{81}$

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