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Mice21 [21]
3 years ago
12

Rewrite the expression with a rational exponent as a radical expression.

Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer:

First option is correct.

\sqrt[10]{4}

Step-by-step explanation:

Given:

The given expression is (4^{\frac{2}{5}})^{\frac{1}{4}}

We write the given expression with a rational exponent as a radical expression such as.

=(4^{\frac{2}{5}})^{\frac{1}{4}}

Simplify the above equation by multiplication of powers.

=(4^{\frac{2}{5}\times \frac{1}{4}})

=(4^{\frac{1}{5}\times \frac{1}{2}})

=(4^{\frac{1}{5\times 2}})

=(4^{\frac{1}{10}})

=\sqrt[10]{4}

Therefore, The answer is =\sqrt[10]{4}.

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{\color{red}{\huge{\underbrace{\overbrace{\mathfrak{\:\:\:\:\:\:\:꧁"Answer"꧂\:\:\: }}}}}}

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