Question Type 2: Applying exponent rules to simplify complex expressions with multiple exponents Exercises

Simplify the expression $x^3 \, x^5$

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

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

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

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

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

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

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

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

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

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

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