Question

simplify (243) power - 1/5

Answer 1

Hey friend,
Here is the answer you were looking for:
${(243)}^{ - \frac{1}{5} } \\ \\ = ({3}^{5} )^{ - \frac{1}{5} } \\ \\ = {(3)}^{5 \times - \frac{1}{5} } \\ \\ = {3}^{ - 1} \\ \\ = \frac{1}{3}$

Hope this helps!!!

@Mahak24

Thanks...
☺☺

Answer 2

Answer:

The simplified form of the given expression is 1/3.

Step-by-step explanation:

Here, the given expression,

$(243)^{-\frac{1}{5}}$

$=\frac{1}{(243)^{\frac{1}{5}}}$ ( $a^n=\frac{1}{a^-{n}}$ )

$=\frac{1}{(3^5)^{\frac{1}{5}}}$  ( $(a^n)^m=a^{nm}$ )

$=\frac{1}{3^{5\times \frac{1}{5}}}$    

$=\frac{1}{3^1}$            

$=\frac{1}{3}$