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Popular >

simplify (sqrt(2))^{3/2}

Solution

simplify

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

Solution

2^{\frac{3}{4}}

+1

Decimal Notation

1.68179 \dots

Solution steps

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

Apply exponent rule:

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

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

\frac{1}{2} \cdot \frac{3}{2} = \frac{3}{4}

= 2^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is (sqrt(2))^{3/2} ?
The solution to (sqrt(2))^{3/2} is 2^{3/4}