Question

How do you simplify `(a^(1/2) * b^(1/3))^6`?

Answer 1

`a^3*b^2`

Explanation:

When dealing with exponents being raised to another exponent, you can multiply the outside exponent by the inside ones.
i.e. `(2^2*3^3)^3 = 2^(2*3)*3^(3*3) = 2^6*3^9`

is this case once we do that we get:
`a^(6/2)*b^(6/3)`
and when we simplify the fractions in the exponents we get:

`a^3*b^2`