Question

simplifique a expressão abaixo

(27²)⁴.(3²)⁵.(3²)³
----------------------- =
(3⁴)⁸.(3⁴)²

Answer 1

boa noite!

$\frac{(27²)⁴ \times (3²)⁵ \times (3²)³}{( {3}^{4} {)}^{8} \times ( {3}^{4} {)}^{2} }$

$\frac{2 {7}^{8} \times ( {3}^{2} {)}^{5} \times ( {3}^{2} {)}^{3} }{( {3}^{4} {)}^{8} \times ( {3}^{4} {)}^{2} }$

$\frac{2 {7}^{8} \times {3}^{10} \times ( {3}^{2} {)}^{3} }{( {3}^{4} {)}^{8} \times( {3}^{4} {)}^{2} }$

$\frac{2 {7}^{8} \times {3}^{10} \times {3}^{6} }{( {3}^{4} {)}^{8} \times {3}^{4} {)}^{2} }$

$\frac{2 {7}^{8} \times {3}^{10} \times {3}^{6} }{ {3} {}^{32} \times ( {3}^{4} {)}^{2} }$

$\frac{2 {7}^{8} \times {3}^{10} \times {3}^{6} }{ {3} {}^{32} \times {3}^{8} {}^{} }$

$\frac{3 {}^{24} \times {3}^{10} \times {3}^{6} }{ {3} {}^{32} \times {3}^{8} {}^{} }$

$\frac{ {3}^{24} \times {3}^{10} \times {3}^{6} }{ {3}^{40} }$

$\frac{ {3}^{40} }{ {3}^{40} }$

$= 1$

Explicação passo-a-passo:

Espero ter colaborado, bons estudos❤.