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Popular >

simplify (sqrt(3/2))^3

Solution

simplify

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

Solution

\frac{3 3}{2 2}

+1

Solution steps

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

Apply exponent rule:

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

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

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

Apply exponent rule:

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

= \frac{3}{2} \frac{3}{2}

\frac{3}{2} \frac{3}{2} = \frac{3 3}{2 2}

= \frac{3 3}{2 2}

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Frequently Asked Questions (FAQ)

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