Simplify the following fractions by putting them in lowest terms or by performing the indicated operations. 2a^2/3b,15b^2/4a^3+15b^2/6a^3

Aflute is on sale for 20% off. including the discount and 8% tax, the sales price is $216.

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.

What is the value of the product (3-2i)(3+2i)?