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

Answer:

Hi!! The answer is D!

Step-by-step explanation:

you multiply both of the fractions only :)

Answer 2

Answer:

Option A.

Step-by-step explanation:

The given expression is

$(x^{\frac{2}{3}})^{\frac{4}{5}}$

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

$x^{\frac{2}{3}\times \frac{4}{5}}$

$x^{\frac{8}{15}}$

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

Therefore, the correct option is A.