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Popular >

simplify (144/25)^{3/2}

Solution

simplify

(\frac{144}{25})^{\frac{3}{2}}

Solution

\frac{1728}{125}

+1

Decimal Notation

13.824

Solution steps

(\frac{144}{25})^{\frac{3}{2}}

Apply exponent rule:

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

= \frac{14 4 ^{\frac{3}{2}}}{2 5 ^{\frac{3}{2}}}

14 4^{\frac{3}{2}} = 1728

= \frac{1728}{2 5 ^{\frac{3}{2}}}

2 5^{\frac{3}{2}} = 125

= \frac{1728}{125}

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Frequently Asked Questions (FAQ)

What is (144/25)^{3/2} ?
The solution to (144/25)^{3/2} is 1728/125