Question

(5².5⁵.125⁴)³:(25².5².5)²​

Answer 1

Resposta:

$\frac{\left(5^2\cdot \:5^5\cdot \:125^4\right)^3}{\left(25^2\cdot \:5^5\cdot \:5\right)^2}\\\\=\frac{15625\cdot \:5^{15}\cdot \:125^{12}}{\left(25^2\cdot \:5^5\cdot \:5\right)^2}\\\\=\frac{15625\cdot \:5^{15}\cdot \:125^{12}}{25^4\cdot \:5^{10}\cdot \:5^2}\\\\=\frac{25^3\cdot \:5^{15}\cdot \:125^{12}}{25^4\cdot \:5^{10}\cdot \:5^2}\\\\=\frac{5^{15}\cdot \:125^{12}}{25\cdot \:5^{10}\cdot \:5^2}\\\\=\frac{5^3\cdot \:125^{12}}{25}\\\\=\frac{5^3\cdot \:125^{12}}{5^2}\\\\=5\cdot \:125^{12}$