Rewrite the radical expression using rational exponents. A ssume all variables represent nonnegative real numbers.
-$\sqrt[6]{\mathrm{mn}}$
A) $\frac{1}{(\mathrm{mn})^{6}}$
B) $(\mathrm{mn})^{1 / 6}$
C) $m^{1 / 6} n$
D) $\mathrm{mn}^{1 / 6}$

Question

Quizplus · Accepted Answer

The radical expression $\sqrt[6]{\mathrm{mn}}$ can be rewritten using rational exponents as $(\mathrm{mn})^{1 / 6}$, which corresponds to choice B. This is because the nth root of a number is the same as raising that number to the power of 1/n.

Rewrite the Radical Expression Using Rational Exponents mn6\sqrt[6]{\mathrm{mn}}6mn​ A) 1(mn)6\frac{1}{(\mathrm{mn})^{6}}(mn)61​ B) (mn)1/6(\mathrm{mn})^{1 / 6}(mn)1/6

Rewrite the Radical Expression Using Rational Exponents $\sqrt[6]{\mathrm{mn}}$ A) $\frac{1}{(\mathrm{mn})^{6}}$ B) $(\mathrm{mn})^{1 / 6}$