Use Exponent Rules to Simplify Expressions with Fractions

(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.

(Y9) Extend and apply the index laws to variables, using positive integer indices and the zero index (ACMNA212)

8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3-5 = 3-3 = 1/33 = 1/27.

HSA.APR.6 Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.