simplify (ba^-2 * a3-/4) ^1/3 (a^-2/3 b1/4)

Question

Simplify. the answer shpuld contain only one postive ecponets with no fractional exponets in the denominator

Answer 1

The 1/3 exponent on the first set of brackets affects the contents: b^1/3*a^-2/3*a^-1/4. We can combine the a exponents by adding them: b^1/3*a^(-2/3-1/4)=b^1/3*a^-11/12. Multiply by the contents of the other brackets: b^5/4*a^(-11/12-2/3)=b^5/4*a^-19/12=(b^5/4)*a^(-1-(7/12))=((b^5/4)*a^-7/12)/a. This meets the requirements of one positive exponent and no fractional exponents in the denominator.