Which of the following choices are equivalent to the expression below? Check all that apply. HELP PLEASE PLEASE HELP PLEASE PLEASE PLEASE

Question

asked Aug 16, 2020 36.3k views

2 Answers

Hermeslm · Answer 1 · 2020-08-23T03:02:18+0000

The choices which are equivalent to the given expression is:

$A.\ \ (x^5)^{(1)/(4)}$

$C.\ \ (\sqrt[4]{x})^5$

$F.\ \ \sqrt[4]{x^5}$

We are given a expression in terms of the variable x as:

$x^{(5)/(4)}$

Now, we know that any general expression of the form:

$x^{(m)/(n)}$ could also be represented by:

$(x^m)^{(1)/(n)}$ or
$(x^{(1)/(n)})^m$ or
$\sqrt[n]{x^m}$ or
$(\sqrt[n]{x})^m$

Here in this expression we have:

$m=5\ and\ n=4$

Hence, the equivalent expressions are:

Option: A , Option: C and Option: F