Questions: Use radical notation to write the expression. Simplify if possible. Assume that all variables represent nonnegative quantities. 8 m^(1/5) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 8 m^(1/5)= (Simplify your answer. Type an exact answer, using radicals as needed.) B. The answer is not a real number.

Use radical notation to write the expression. Simplify if possible. Assume that all variables represent nonnegative quantities.

8 m^(1/5)

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. 8 m^(1/5)=
(Simplify your answer. Type an exact answer, using radicals as needed.)
B. The answer is not a real number.

Transcript text: Use radical notation to write the expression. Simplify if possible. Assume that all variables represent nonnegative quantities. \[ 8 m^{\frac{1}{5}} \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $8 \mathrm{~m}^{\frac{1}{5}}=$ $\square$ (Simplify your answer. Type an exact answer, using radicals as needed.) B. The answer is not a real number.

Solution

Solution Steps

Step 1: Express the Given Expression

The given expression is

\[ 8 m^{\frac{1}{5}}. \]

Step 2: Convert to Radical Notation

To express the power as a radical, we recognize that the fractional exponent corresponds to a root. Specifically, the denominator of the fraction indicates the root. Thus, we can rewrite the expression as:

\[ 8 m^{\frac{1}{5}} = 8 \sqrt[5]{m}. \]