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 …

Question

asked Dec 11, 2020 147k views

1 Answer

Sclv · Answer 1 · 2020-12-14T22:23:35+0000

Answer:

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.