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Popular >

simplify \sqrt[30]{3^{12}}

Solution

simplify

Solution

3^{\frac{2}{5}}

+1

Decimal Notation

1.55184 \dots

Solution steps

Apply radical rule:

= (3^{12})^{\frac{1}{30}}

Apply exponent rule:

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

= 3^{12 \cdot \frac{1}{30}}

12 \cdot \frac{1}{30} = \frac{2}{5}

= 3^{\frac{2}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[30]{3^{12}} ?
The solution to \sqrt[30]{3^{12}} is 3^{2/5}