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Popular >

simplify (sqrt(1/3))^3

Solution

simplify

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

Solution

\frac{1}{3 3}

+1

Decimal Notation

0.19245 \dots

Solution steps

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

Apply exponent rule:

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

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

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

Apply exponent rule:

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

= \frac{1}{3} \frac{1}{3}

Apply radical rule:

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

\frac{1}{3} = \frac{1}{3}

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

Apply radical rule:

1 = 1

1 = 1

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

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

= \frac{1}{3 3}

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Frequently Asked Questions (FAQ)

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