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Popular >

simplify \sqrt[3]{64^4}

Solution

simplify

Solution

256

Solution steps

Apply exponent rule:

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

6 4^{3 + 1} = 6 4^{3} \cdot 64

Apply radical rule:

Apply radical rule:

Prime factorization of

64 : 2^{6}

Apply radical rule:

= 64 \cdot 2^{\frac{6}{3}}

Divide the numbers:

\frac{6}{3} = 2

= 64 \cdot 2^{2}

2^{2} = 4

= 64 \cdot 4

Multiply the numbers:

64 \cdot 4 = 256

= 256

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{64^4} ?
The solution to \sqrt[3]{64^4} is 256