Question

How do I solve 25^3/2 ?

Answer 1

125

Explanation:

`25^(3/2)`

when evaluating rational exponents the numerator of the exponent is the power the base is raised to and the denominator of the exponent is the root:

`x^(a/b) = rootb(x^a)`

So your expression:

`25^(3/2) =sqrt(25^3) = sqrt(15625) = 125`