Rewrite the expression with rational exponents as a radical expression.

Question

asked Jul 9, 2020 199k views

2 Answers

PrashantUpadhyay · Answer 1 · 2020-07-16T08:10:49+0000

Answer:

$7\sqrt[3]{x^2}$

Explanation:

The rule of exponents that dictates this to be solved is:

$x^{(a)/(b)}=\sqrt[b]{x^a}$

The power of 2/3 is on "x", NOT 7, so we use this property to write it as:

$x^{(a)/(b)}=\sqrt[b]{x^a} \\7x^{(2)/(3)}=7\sqrt[3]{x^2}$

third answer choice is right,
$7\sqrt[3]{x^2}$