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Mathematics

Algebra

Exponent Rules

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$a^5 \cdot a^3$

$a^8$

$\left(b^4\right)^2$

$b^8$

$d^{-2} \cdot d^5$

$d^3$

$\left(\frac{y}{y^3}\right)^2$

$\frac{1}{y^4}$

$7^0$

$1$

$\frac{s^6}{s}$

$s^5$

$(z^3)^3$

$z^9$

$(2xy)^2$

$4x^2y^2$

$(3a)^{-1}$

$\frac{1}{3a}$

$x^{-3}$

$\frac{1}{x^3}$

$\frac{w^3}{w^{-5}}$

$w^8$

$\left(\frac{1}{2}t\right)^{-2}$

$4t^{-2}$

$(xy)^3$

$x^3y^3$

$\frac{m^9}{m^2}$

$m^7$

$\left(x^2y\right)^4$

$x^8y^4$

$\frac{x^5}{x^3y^2}$

$\frac{x^2}{y^2}$

$(3x)^2$

$9x^2$

$2^4 \cdot 2^3$

$2^7$

$(5x)^3$

$125x^3$

$\left(\frac{2}{3}x\right)^4$

$\left(\frac{2}{3}\right)^4x^4$

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