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Popular >

simplify \sqrt[7]{49}^3

Solution

simplify

Solution

4 9^{\frac{3}{7}}

+1

Decimal Notation

5.30114 \dots

Solution steps

Apply radical rule:

= (4 9^{\frac{1}{7}})^{3}

Apply exponent rule:

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

= 4 9^{\frac{1}{7} \cdot 3}

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

= 4 9^{\frac{3}{7}}

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Frequently Asked Questions (FAQ)

What is \sqrt[7]{49}^3 ?
The solution to \sqrt[7]{49}^3 is 49^{3/7}