Question

calcule a expressão 3⁷ x 3² : 3⁵ x 3¹⁰ x 3⁰

Answer 1

$3^7\cdot 3^2\div 3^5\cdot 3^{10}\cdot 3^0\\\\3^7\cdot \frac{3^2}{3^5}\cdot \:3^{10}\cdot \:3^0\\\\3^7\cdot \:3^{10}\cdot \:3^0=3^{7+10+0}\\=3^{7+10+0}\cdot \frac{3^2}{3^5}\\\\7+10+0=17\\=3^{17}\cdot \frac{3^2}{3^5}\\\\=3^{17}\cdot \frac{1}{3^3}\\\\=\frac{1\cdot \:3^{17}}{3^3}\\\\=\frac{3^{17}}{3^3}\\\\\frac{3^{17}}{3^3}=3^{17-3}\\\\17-3=14\\\\=3^{14}\\\\3^{14}=4782969\\\\=4782969$