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kramer
3 years ago
6

When I write my expression in rational exponent form, what is the fraction that goes with the base of 10?

Mathematics
1 answer:
blsea [12.9K]2 years ago
6 0

Answer: Choice A

\sqrt[4]{3^3}

The fourth root of 3^3

=============================================

Explanation:

The exponent of 1/4 means "fourth root", so,

3^{1/4} = \sqrt[4]{3}

The outer exponent 3 can be moved inward like this

\left(3^{1/4}\right)^3 = 3^{1/4*3} = 3^{3/4}

Then we can use the rule

x^{m/n} = \sqrt[n]{x^m}

This means

3^{3/4} = \sqrt[4]{3^3}

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