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Popular >

simplify \sqrt[4]{47^3}

Solution

simplify

Solution

4 7^{\frac{3}{4}}

+1

Decimal Notation

17.95036 \dots

Solution steps

Apply radical rule:

= (4 7^{3})^{\frac{1}{4}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 4 7^{3 \cdot \frac{1}{4}}

3 \cdot \frac{1}{4} = \frac{3}{4}

= 4 7^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{47^3} ?
The solution to \sqrt[4]{47^3} is 47^{3/4}