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Question
Write \[\left( 625 \right)^{- 1/4}\] in decimal form.
Solution
We have to write `(625)^(-1/4)`in decimal form. So,
\[\left( 625 \right)^\frac{- 1}{4} = \frac{1}{{625}^\frac{1}{4}}\]
\[ = \left( \frac{1}{\left( 5^4 \right)} \right)^\frac{1}{4}\]
`(625)^(-1/4) = (1 /5)^(4 xx 1/4)`
`=1/5`
= 0.2
Hence the decimal form of `(625)^(-1/4)` is 0.2
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