Simplify the following, giving your answer with a positive index: $\frac{12x^3}{4x^7}$12x34x7

Express the following fraction as a product containing negative indices: $\frac{m}{n^4}$mn4

Express the fraction $\frac{4}{n^2}$4n2 as a product containing negative indices.

Assuming that $w$w is non-zero, simplify $\frac{1}{w^{-7}}$1w−7 using positive indices.

Manipulate rational, exponential, and logarithmic algebraic expressions

Apply algebraic methods in solving problems