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

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Jan 25, 2017

Answer:

#25^(3/2) = 125#

Explanation:

For any Real numbers #a#, #b#, #c# with #a > 0# we find:

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

In our example, #25 = 5^2#, so we find:

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

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