Question

PLEASE HELP Arlene claims that the kth root of x can be expressed as x 1/k. Which equation below justifies Arlene's claim?

Answer 1

The k-th root's inverse function is raising to the k-th power.

So, if we raise the k-th root of some number x to the k-th power, we have applied a function and its inverse to x, and we must get x itself as output:

$f(f^{-1}(x))=f^{-1}(f(x))=x\quad\text{for every invertible function f}$

So, in our case, we have

$(\sqrt[k]{x})^k = \left(x^{\frac{1}{k}}\right)^k=x^{k\cdot \frac{1}{k}}=x^1=x$

Answer 2

Answer:

its D

Step-by-step explanation:

zzzzzz its d trust me