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Answer and step by step explanation pls

Pls help. Answer and step by step explanation pls-example-1

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~\hspace{7em}\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3(ab^2)^2}{6a^3b^(-3)}\implies \cfrac{3}{6}\cdot \cfrac{(ab^2)^2}{a^3b^(-3)}\implies \cfrac{1}{2}\cdot \cfrac{(a^2b^4)}{a^3b^(-3)}\implies \cfrac{1}{2}\cdot \cfrac{b^4 b^3}{a^(-2)a^3} \\\\\\ \cfrac{1}{2}\cdot \cfrac{b^(4+3)}{a^(-2+3)}\implies \cfrac{1}{2}\cdot\cfrac{b^7}{a^1}\implies \cfrac{b^7}{2a}

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