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Popular >

expand [(sqrt(16))^6]^{1/3}

Solution

expand

[(16)^{6}]^{\frac{1}{3}}

Solution

16

Solution steps

((16)^{6})^{\frac{1}{3}}

Apply exponent rule:

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

= (16)^{6 \cdot \frac{1}{3}}

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

= (16)^{2}

Apply exponent rule:

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

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

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

= 16

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Frequently Asked Questions (FAQ)

What is expand [(sqrt(16))^6]^{1/3} ?
The solution to expand [(sqrt(16))^6]^{1/3} is 16