Rational Exponents Flashcard

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What is a rational exponent?

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@@t^{rac{7}{4}} = t^{6} \cdot t^{rac{1}{4}}$$.

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What is the rule for multiplying powers with the same base?

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This expression is already simplified.

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@@rac{x^2}{x^3} = x^{2-3} = x^{-1}$$.

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@@rac{(3y^4)^2}{(3y^4)^1} = (3y^4)^{2-1} = 3y^4$$.

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@@5^{rac{3}{2}} = ext{sqrt}(5^3) = 5 ext{sqrt}(5)$$.

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@@rac{x^{rac{2}{3}}}{x^{rac{1}{3}}} = x^{rac{2}{3}-rac{1}{3}} = x^{rac{1}{3}}$$.

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@@(ab^3)^4 = a^4b^{12}$$.

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@@x^{-rac{2}{3}}$$.