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

Jul 12, 2016

${a}^{3} \cdot {b}^{2}$

#### Explanation:

When dealing with exponents being raised to another exponent, you can multiply the outside exponent by the inside ones.
i.e. ${\left({2}^{2} \cdot {3}^{3}\right)}^{3} = {2}^{2 \cdot 3} \cdot {3}^{3 \cdot 3} = {2}^{6} \cdot {3}^{9}$

is this case once we do that we get:
${a}^{\frac{6}{2}} \cdot {b}^{\frac{6}{3}}$
and when we simplify the fractions in the exponents we get:

${a}^{3} \cdot {b}^{2}$