IB Mathematics Applications & Interpretation Question Type 2: Applying Exponent Rules to Simplify Complex Expressions with Multiple Exponents Exercises

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

Simplify the expression

$$\frac{((x{y}^{2}z(x^2{y}^{2}z){)}^6{)}^2}{(x^{2}y{)}^{3}xy(z^{2}xy{)}^2}$$

Simplify the expression $$\frac{(x{y}^{2}z(x^2{y}^{2}z){)}^6}{(x^{2}y{)}^3\cdot x\cdot y\cdot (z^{2}xy{)}^2}$$

Simplify the expression $x^2{y}^3\cdot x^4{y}^{-1}$

Simplify the expression $\frac{a^5{b}^{-2}}{a^{-3}{b}^4}$

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

Simplify the expression $\frac{(3a^2{b}^{-1}{)}^3}{(a{b}^2{)}^{-2}}$

Simplify the expression $(y^4{)}^2$

Simplify the expression $(2x^3{y}^{-1}{)}^2$

Simplify the expression $x^3{x}^5$.

Simplify the expression $$\frac{(4a^{-1}{b}^2{)}^3(a^2{b}^{-3}{)}^{-2}}{2a{b}^{-1}}$$

Simplify the expression $\frac{(x^{2}y{)}^3}{x{y}^2}$