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Popular >

simplify 4^{1/8}

Solution

simplify

4^{\frac{1}{8}}

Solution

2^{\frac{1}{4}}

+1

Decimal Notation

1.18920 \dots

Solution steps

4^{\frac{1}{8}}

Factor the number:

4 = 2^{2}

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

Apply exponent rule:

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

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

2 \cdot \frac{1}{8} = \frac{1}{4}

= 2^{\frac{1}{4}}

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Frequently Asked Questions (FAQ)

What is 4^{1/8} ?
The solution to 4^{1/8} is 2^{1/4}