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Popular >

simplify \sqrt[5]{(1521)^3}

Solution

simplify

Solution

152 1^{\frac{3}{5}}

+1

Decimal Notation

81.14794 \dots

Solution steps

Apply radical rule:

= ((1521)^{3})^{\frac{1}{5}}

Apply exponent rule:

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

= (1521)^{3 \cdot \frac{1}{5}}

3 \cdot \frac{1}{5} = \frac{3}{5}

= (1521)^{\frac{3}{5}}

Remove parentheses:

(a) = a

= 152 1^{\frac{3}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{(1521)^3} ?
The solution to \sqrt[5]{(1521)^3} is 1521^{3/5}