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Algebra
# Exponential Functions

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Which of the following is equal to \( \large \frac{ x^{-2} } { x ^ { -6}} \)?

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Simplify

\[ \left( 2 x^2 y^2 \right)^3 x^{-4} y^3. \]

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Simplify

\[ \frac{4x^{-5}y^{-3}\cdot 3x^3 y^{-2}}{ 6x^{-5} y^3}. \]

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If \( a + a^{-1} = 3 \), evaluate

\[ a^4 + a^{-4}. \]

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Which of the following is equal to \(\Large \frac{x^4}{x^{-8}}\)?

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