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Popular >

simplify (1/3)^{3/2}

Solution

simplify

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

Solution

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

+1

Decimal Notation

0.19245 \dots

Solution steps

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

Apply exponent rule:

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

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

Apply rule

1^{a} = 1

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

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

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

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

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Frequently Asked Questions (FAQ)

What is (1/3)^{3/2} ?
The solution to (1/3)^{3/2} is 1/(3*3^{1/2)}