Question Type 1: Applying exponent rules to simplify basic expressions Exercises

Simplify $x^0$.

Simplify $\frac{x^2 \cdot x^5}{x^9}$.

Simplify $x^3 \cdot x^{-7}$.

Simplify $(2x^3)(3x^4)$.

Simplify $\frac{a^4 b^2}{a^6 b^{-1}}$.

Simplify $(x^2 y^{-3})(x^{-5} y^4)$.

Simplify $\frac{5x^{-2}}{2x^3}$.

Simplify $(3a^2 b^{-1})^2$.

Simplify $\frac{x^7 y^{-2}}{x^{-3} y^5}$.

Simplify $\frac{x^{1/2} \cdot x^{3/2}}{x^2}$.

Simplify $\left(\frac{2x^{-1}}{y^2}\right)^{-3}$.

Simplify $\frac{(2x^2 y^{-3})^3}{(4x^{-1} y)^2}$.