Simplify $c^{2z}c^{z+1}$c2zcz+1, giving your answer in index form.

Simplify the following:

$\left(7^8\right)^x$(78)x

Simplify the following, giving your answer with a positive index: $\left(u^{x+1}\right)^3$(ux+1)3

Simplify the following, giving your answer without a fraction: $\frac{u^{2x+1}}{u^x}$u2x+1ux

Manipulate rational, exponential, and logarithmic algebraic expressions

Apply algebraic methods in solving problems