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Popular >

simplify 256^{1/8}

Solution

simplify

25 6^{\frac{1}{8}}

Solution

2

Solution steps

25 6^{\frac{1}{8}}

Factor the number:

256 = 2^{8}

= (2^{8})^{\frac{1}{8}}

Apply exponent rule:

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

= 2^{8 \cdot \frac{1}{8}}

8 \cdot \frac{1}{8} = 1

= 2^{1}

Apply exponent rule:

a^{1} = a

= 2

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Frequently Asked Questions (FAQ)

What is 256^{1/8} ?
The solution to 256^{1/8} is 2