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Popular >

simplify (5/12)^{3/2}

Solution

simplify

(\frac{5}{12})^{\frac{3}{2}}

Solution

\frac{5 \cdot 5 ^{\frac{1}{2}}}{24 \cdot 3 ^{\frac{1}{2}}}

+1

Decimal Notation

0.26895 \dots

Solution steps

(\frac{5}{12})^{\frac{3}{2}}

Apply exponent rule:

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

= \frac{5 ^{\frac{3}{2}}}{1 2 ^{\frac{3}{2}}}

1 2^{\frac{3}{2}} = 24 \cdot 3^{\frac{1}{2}}

= \frac{5 ^{\frac{3}{2}}}{24 \cdot 3 ^{\frac{1}{2}}}

5^{\frac{3}{2}} = 5 \cdot 5^{\frac{1}{2}}

= \frac{5 \cdot 5 ^{\frac{1}{2}}}{24 \cdot 3 ^{\frac{1}{2}}}

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simplify (17)/(4/7)simplify

\frac{17}{\frac{4}{7}}

Frequently Asked Questions (FAQ)

What is (5/12)^{3/2} ?
The solution to (5/12)^{3/2} is (5*5^{1/2})/(24*3^{1/2)}