Question

(8x^9y^54)^1/3
Simplify the equation

Answer 1

`2x^3 y^(18)`

Explanation:

`~~~\left( 8 x^9 y^(54) \right)^(\tfrac 13)\\\\=\left(2^3 x^9 y^(54) \right)^(\tfrac 13) \\\\=\left( 2^3 \right)^(\tfrac 13)\left( x^9 \right)^(\tfrac 13)\left( y^(54) \right)^(\tfrac 13)\\\\=2^(\tfrac 33) \cdot x^(\tfrac 93) \cdot y^{\tfrac{54}3}\\\\=2x^3 y^(18)`

Answer 2

2x^3 y^18

Explanation:

The power of a power (properties of exponents) was used in this problem. Hope this helps! :)