IB Mathematics Analysis and Approaches Question Type 1: Applying Exponents Rules to Simplify Basic Expressions Exercises

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

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

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

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

Simplify $(x^3{)}^4$.

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

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