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Exponent Power Rule Example Archive

October 7, 2025

Problem Video
Write $(x^5)^6$ as $x$ raised to a single power. Watch
Write $(x^5y^2z^3)^4$ as the product of $x$, $y$, and $z$ raised to a single power. Watch
Distribute the outside exponent inside the parenthesis: $(x^3(y+1)^2)^4$. Watch
Rewrite $\dfrac{(x^3z)^2 y^{-2}z^4}{y(x+1)}$ so that each unique base is raised to a single POSITIVE power. Watch
Rewrite $\dfrac{(x^2 y z)^3}{x y^4 z^3 y^8}$ so that each unique base is raised to a single POSITIVE power. Watch
Rewrite $\dfrac{x^5 (y^{-3} z^3)^{-4} (z+1)^5}{(z+1)^{-2} x^7 z^9}$ so that each unique base is raised to a single POSITIVE power. Watch

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