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Popular >

simplify \sqrt[12]{12^3}

Solution

simplify

Solution

+1

Decimal Notation

1.86120 \dots

Solution steps

Apply radical rule:

= (1 2^{3})^{\frac{1}{12}}

Apply exponent rule:

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

= 1 2^{3 \cdot \frac{1}{12}}

3 \cdot \frac{1}{12} = \frac{1}{4}

= 1 2^{\frac{1}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[12]{12^3} ?
The solution to \sqrt[12]{12^3} is \sqrt[4]{12}