Ao simplificarmos,vamos obter A)1 e B)[tex]\large\red{\text{$ \sf \dfrac{625}{3}$}}[/tex]
Fazemos Os Cálculos:
A)
[tex]\Large{\text{$\sf \dfrac{\left(7^{2}\right)^{3}}{\left(7^{3}\right)^{2}} $}}[/tex]
[tex]\red{\Bigg\downarrow}[/tex]
[tex]\Large{\text{$\sf \dfrac{7^{2\times3}}{7^{3\times2}}=\dfrac{7^{6}}{7^{6}}= $}}[/tex]
[tex]\large\green{\begin{array}{l} \rm Observe\:as\:frac_{\!\!,}\tilde{o}es\:s\tilde{a}o\:as\:mesmas\:no\:resultado\\\rm,ou\:seja, dividimos\:por\:ela\:mesma. \end{array}}[/tex]
[tex]\Large\red{\text{$ \sf\dfrac{7^{6}}{7^{6}}=1$}}[/tex]
[tex]\bf\large{\underline{\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}[/tex]✍
B)
[tex]\Large{\text{$\sf \dfrac{\left(3\cdot5^{2}\right)^{3}}{\left(3^{2}\cdot5\right)^{2}}$}}[/tex]
[tex]\purple{\Bigg\downarrow}[/tex]
[tex]\Large\red{\text{$\sf \dfrac{27\times5^{6} }{{3^{4}\times25 }}=\dfrac{3^{3}\times5^{6}}{3^{4}\times5^{2}} $}}[/tex]
[tex]\Large{\text{$ \sf \dfrac{\diagup\!\!\!\!\!3^{3}\times5^{\diagup\!\!\!\!6}}{3^{\diagup\!\!\!\!\!4}\times\diagup\!\!\!\!\!5^{2}}$}}[/tex]
[tex]\purple{\Bigg\downarrow}[/tex]
[tex]\Large{\text{$ \sf \dfrac{5^{4}}{3}=\dfrac{625}{3}$}}[/tex]
[tex]\bf\large{\underline{\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}[/tex]☁
[tex]\Large{\text{\bf Bons~estudos}}[/tex]
[tex]\bf\large{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX[/tex]✍
[tex]\sf\purple{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly}[/tex]
