What is \sqrt[6]{8912^2} ?

The solution to \sqrt[6]{8912^2} is 2\sqrt[3]{1114}

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simplify \sqrt[6]{8912^2}

simplify

Decimal Notation

20.73282 \dots

Solution steps

Apply radical rule:

= (891 2^{2})^{\frac{1}{6}}

Apply exponent rule:

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

= 891 2^{2 \cdot \frac{1}{6}}

2 \cdot \frac{1}{6} = \frac{1}{3}

= 891 2^{\frac{1}{3}}

Prime factorization of

8912 : 2^{4} \cdot 557

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

Apply radical rule:

Refine

(6.67 \cdot 1 0^{- 11}) \cdot \frac{2 ^{2}}{0.28 5 ^{2}}

1.2 x 1 0^{- 3}

3 x^{2} (x - 2)^{2}

3^{x} \times 2^{x}