Question

Write \[\left( 625 \right)^{- 1/4}\] in decimal form.

Answer 1

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