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Popular >

simplify (13/4)^{3/2}

Solution

simplify

(\frac{13}{4})^{\frac{3}{2}}

Solution

\frac{13 \cdot 1 3 ^{\frac{1}{2}}}{8}

+1

Solution steps

(\frac{13}{4})^{\frac{3}{2}}

Apply exponent rule:

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

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

4^{\frac{3}{2}} = 8

= \frac{1 3 ^{\frac{3}{2}}}{8}

1 3^{\frac{3}{2}} = 13 \cdot 1 3^{\frac{1}{2}}

= \frac{13 \cdot 1 3 ^{\frac{1}{2}}}{8}

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Frequently Asked Questions (FAQ)

What is (13/4)^{3/2} ?
The solution to (13/4)^{3/2} is (13*13^{1/2})/8