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Popular >

simplify (1024)^{1/5}

Solution

simplify

(1024)^{\frac{1}{5}}

Solution

4

Solution steps

102 4^{\frac{1}{5}}

Factor the number:

1024 = 4^{5}

= (4^{5})^{\frac{1}{5}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 4^{5 \cdot \frac{1}{5}}

5 \cdot \frac{1}{5} = 1

= 4^{1}

Apply exponent rule:

a^{1} = a

= 4

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Frequently Asked Questions (FAQ)

What is (1024)^{1/5} ?
The solution to (1024)^{1/5} is 4