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Mathematics

Simplify:

a5b2a2b3\dfrac{a^5b^2}{a^2b^{-3}}

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Answer

a5b2a2b3=a52b2(3)=a3b2+3=a3b5\dfrac{a^5b^2}{a^2b^{-3}}\\[1em] = a^{5-2}b^{2-(-3)}\\[1em] = a^{3}b^{2+3}\\[1em] = a^{3}b^{5}

a5b2a2b3=a3b5\dfrac{a^5b^2}{a^2b^{-3}}= a^{3}b^{5}

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