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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