Question

Which of the following choices are equivalent to theexpression below? Check all that apply.A. XB. (**)D D. &E (2)19F.

Answer 1

The expression

$x^{\frac{9}{4}}$

is equivalent to

$\sqrt[4]{x^9}$

then the answer is option D

Since the root and the exponent commute, this also can be written as

$(\sqrt[4]{x})^9$

then the answer is option B

And by the same reason, this can be written as

$(x^9)^{\frac{1}{4}}$

then the answer is option E