Question

Find value of `247^(7/10)`?

Answer 1

`243^(7/10)=27sqrt3`

Explanation:

`243^(7/10)` but `243=3×3×3×3×3`.

As such `243^(7/10)`

= `(3^5)^(7/10)`

= `3^(5×7/10)`

= `3^(7/2)`

= `3^(3+1/2)`

= `3^3×3^(1/2)`

= `27sqrt3`