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

1 Answer
David Y.
Feb 3, 2015

The number reads as 25 to the power of (3/2), which simplifies to #sqrt(15625)#.

When an exponent is a fraction, the denominator of the fraction becomes the root. We can take the denominator of 2 and make it the square root, so the square root of #25^3#.
#25 ^ (3/2)#
#=sqrt(25^(3))#

Then simplify and solve.
#=sqrt(25*25*25)#
#=sqrt(15625)#
#=160.0781059#

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