Question

The value of (32/243) to the power of -3/5.

Answer 1

`\frac{27}8`

Explanation:

`= \left((32)/(243) \right)^(-\tfrac 35)\\\\\\= \left((2^5)/(3^5) \right)^(-\tfrac 35)\\\\\\=\left(\frac 23 \right)^{-\tfrac{3* 5}5 \right)\\\\\\=\left(\frac 23 \right)^(-3)\\\\\\=(3^3)/(2^3)\\\\\\=\frac{27}8`