Question

Simplify open parentheses x to the 2 third power close parentheses to the 4 fifths power.

Answer 1

x to the 8/15 power. When you have a power raised to another power, you multiply the exponents.

Answer 2

Answer:
`x^{(8)/(15)}`

Or x to the power of 8/15.

Explanation:

Here, the given expression is,

`(x^{(2)/(3)})^{(4)/(5)}`

`=x^{(2)/(3)* (4)/(5)}`
`((a^m)^n=a^(m* n))`

`=x^{(8)/(15)}`

Which is the required simplified of the given expression.