Question

How do you evaluate and simplify `5^(3/2)*5^(1/2)`?

Answer 1

See explanation.

Explanation:

A product of 2 powers with equal bases can be written as a single power using:

`a^bxxa^c=a^{b+c}`

Here we have:

`5^(3/2)xx5^(1/2)=5^((3/2+1/2))=`

`=5^(4/2)=5^2=25`