Question

Simplify open parentheses x to the two thirds power close parentheses to the four fifths power.

A. x to the eight fifteenths power
B. x to the two eighths power
C. x to the six eighths power
D. x to the two fifths power

Answer 1

Option A.

Explanation:

The given expression is

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

We need to find the simplified form of the given expression.

According to the exponent property: If a, m and n are three non zero real numbers, then

`(a^m)^n=a^(mn)`

Using the above property of exponent, we get

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

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

The simplified form of the given expression is x to the eight fifteenths power.

Therefore, the correct option is A.