Question

Simplifique as expressões:

Answer 1

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$\Large\boxed{\begin{array}{l}\tt a)~\sf\dfrac{(x^2\times y^5)^4}{x^3y^2}=\dfrac{\diagup\!\!\!\!\!x^8~^5\times \diagup\!\!\!\!\!y^{20}~^{18}}{\diagup\!\!\!\!x^3\diagup\!\!\!\!y^2}\\\sf= x^5\times y^{18}\\\tt b)~\sf 3^n\div3^{n-5}=3^{n-(n-5)}\\\sf=3^{\diagdown\!\!\!n-\diagdown\!\!\!n+5}=3^5=243\\\tt c)~\sf p^{3n+1}\cdot p^{n-1}=p^{3n+\diagup\!\!\!1+n-\diagup\!\!\!1}=p^{4n}\\\tt d)~\sf\dfrac{(-2^6)}{-2^4}=-2^{6-4}=-2^2\end{array}}$