# How do you evaluate and simplify #25^(3/2)#?

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George C.
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Jan 25, 2017

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For any Real numbers

#a^(bc) = (a^b)^c#

In our example,

#25^(3/2) = (5^2)^(3/2) = 5^(2*3/2) = 5^3 = 125#

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Frit L.
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Jan 25, 2017

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the answer is 125.

#### Explanation:

to the power of 1/2 means that the number is being square rooted. So to the power of 3/2 that means the number is being cubed and then square rooted. 25 cubed is 15625. 15625 square rooted is 125.

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