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

Simplify $\dfrac{x^3}{x^{-2}}$.

Simplify $x^4 \times x^{-6}$, giving your answer with a positive exponent.

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

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

Simplify the expression $a^3 \times a^5$.

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

Simplify the expression $\frac{b^7}{b^2}$.

Simplify $(p^{-1} q^2)^{-2}$.

Simplify the expression $(c^2 d^3)^4$.

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

Simplify $\biggl(\frac{m^5}{m^2}\biggr)^3$.

Simplify $2^3\cdot2^{-5}$.

Simplify the expression $(3x^0 y^4)^2$.

Simplify $(x^3)^4$.

Simplify $\dfrac{a^3 b^2}{a^{-1} b^5}$.

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