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Popular >

simplify (sqrt(1/2))^3

Solution

simplify

(\frac{1}{2})^{3}

Solution

\frac{1}{2 2}

+1

Decimal Notation

0.35355 \dots

Solution steps

(\frac{1}{2})^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Apply exponent rule:

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

= \frac{1}{2} \frac{1}{2}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{1}{2} = \frac{1}{2}

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

Apply radical rule:

1 = 1

1 = 1

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

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

= \frac{1}{2 2}

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Frequently Asked Questions (FAQ)

What is (sqrt(1/2))^3 ?
The solution to (sqrt(1/2))^3 is 1/(2sqrt(2))