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Popular >

simplify sqrt(2)^{3/8}

Solution

simplify

2^{\frac{3}{8}}

Solution

2^{\frac{3}{16}}

+1

Decimal Notation

1.13878 \dots

Solution steps

(2)^{\frac{3}{8}}

Apply exponent rule:

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

= 2^{\frac{1}{2} \cdot \frac{3}{8}}

\frac{1}{2} \cdot \frac{3}{8} = \frac{3}{16}

= 2^{\frac{3}{16}}

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Frequently Asked Questions (FAQ)

What is sqrt(2)^{3/8} ?
The solution to sqrt(2)^{3/8} is 2^{3/16}