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Popular >

simplify \sqrt[12]{3^7}

Solution

simplify

Solution

3^{\frac{7}{12}}

+1

Decimal Notation

1.89810 \dots

Solution steps

Apply radical rule:

= (3^{7})^{\frac{1}{12}}

Apply exponent rule:

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

= 3^{7 \cdot \frac{1}{12}}

7 \cdot \frac{1}{12} = \frac{7}{12}

= 3^{\frac{7}{12}}

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Frequently Asked Questions (FAQ)

What is \sqrt[12]{3^7} ?
The solution to \sqrt[12]{3^7} is 3^{7/12}