Question

Simplify open parentheses x to the 2 sevenths power close parentheses to the 3 fourths power

Answer 1

(x^2/7)^(3/4) =
x^(2/7 * 3/4) =
x^(6/28) reduces to x^(3/14)

Answer 2

`(x^{(3)/(14)})`

Explanation:

we know that

`(x^{(r)/(s)})^{(p)/(q)} = (x^{(r*p)/(s*q)})`

In this problem we have

`(x^{(2)/(7)})^{(3)/(4)}`

so

`(x^{(2)/(7)})^{(3)/(4)}=(x^{(2*3)/(7*4)})=(x^{(6)/(28)})`

Simplify

`(x^{(6)/(28)})=(x^{(3)/(14)})`