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Popular >

simplify \sqrt[12]{16^{11}}

Solution

simplify

Solution

8 \cdot 2^{\frac{2}{3}}

+1

Decimal Notation

12.69920 \dots

Solution steps

Apply radical rule:

= (1 6^{11})^{\frac{1}{12}}

Apply exponent rule:

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

= 1 6^{11 \cdot \frac{1}{12}}

11 \cdot \frac{1}{12} = \frac{11}{12}

= 1 6^{\frac{11}{12}}

1 6^{\frac{11}{12}} = 2^{\frac{11}{3}}

= 2^{\frac{11}{3}}

2^{\frac{11}{3}} = 2^{3} \cdot 2^{\frac{2}{3}}

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

2^{3} = 8

= 8 \cdot 2^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[12]{16^{11}} ?
The solution to \sqrt[12]{16^{11}} is 8*2^{2/3}