Question

6³ . 20² . 125 ÷ 25² . 2³ .12²
ayuden xd​

Answer 1

Respuesta:

$6^3\:\cdot \:20^2\cdot \:125\:\div \:25^2\:\cdot \:2^3\cdot 12^2\\\\\\\frac{6^3\cdot \:20^2\cdot \:125}{25^2\cdot \:2^3\cdot \:12^2}\\\\=\frac{2^3\cdot \:3^3\cdot \:20^2\cdot \:125}{25^2\cdot \:2^3\cdot \:12^2}\\\\=\frac{3^3\cdot \:20^2\cdot \:125}{25^2\cdot \:12^2}\\\\=\frac{3^3\cdot \:20^2\cdot \:125}{25^2\cdot \:3^2\cdot \:4^2}\\\\=\frac{3\cdot \:20^2\cdot \:125}{25^2\cdot \:4^2}\\\\=\frac{3\cdot \:5^2\cdot \:4^2\cdot \:125}{25^2\cdot \:4^2}$

$=\frac{3\cdot \:5^2\cdot \:4^2\cdot \:125}{5^4\cdot \:4^2}\\\\=\frac{3\cdot \:4^2\cdot \:125}{5^2\cdot \:4^2}\\\\=\frac{3\cdot \:125}{5^2}\\\\=\frac{3\cdot \:5^3}{5^2}\\\\=3\cdot \:5\\\\=15$