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Popular >

simplify (\sqrt[12]{10})^2

Solution

simplify

(1210)^{2}

Solution

610

+1

Decimal

1.46779 \dots

Solution steps

(1210)^{2}

Apply radical rule:

n a = a^{\frac{1}{n}}

= (1 0^{\frac{1}{12}})^{2}

Apply exponent rule:

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

= 1 0^{\frac{1}{12} \cdot 2}

\frac{1}{12} \cdot 2 = \frac{1}{6}

= 1 0^{\frac{1}{6}}

a^{\frac{1}{n}} = n a

= 610

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Frequently Asked Questions (FAQ)

What is (\sqrt[12]{10})^2 ?
The solution to (\sqrt[12]{10})^2 is \sqrt[6]{10}