Question

Calcule:(-3).(-3)⁵: (-3)² [(-3)⁴]⁷: [(-3)²]¹⁵​

Answer 1

Resposta:

9

Explicação passo-a-passo:

$\left(-3\right)\frac{\left(-3\right)^5}{\left(-3\right)^2}\cdot \frac{\left(\left(-3\right)^4\right)^7}{\left(\left(-3\right)^2\right)^{15}}\\=\left(-3\right)\left(-3\right)^{5-2}\frac{\left(\left(-3\right)^4\right)^7}{\left(\left(-3\right)^2\right)^{15}}\\=-3\left(-3\right)^{5-2}\frac{\left(\left(-3\right)^4\right)^7}{\left(\left(-3\right)^2\right)^{15}}$

$=-3\cdot \frac{\left(\left(-3\right)^4\right)^7}{\left(\left(-3\right)^2\right)^{15}}\left(-3^3\right)$

$=-3\cdot \frac{1}{3^2}\left(-3^3\right)\\=3\cdot \:3^3\cdot \frac{1}{3^2}\\=3^{1+3}\cdot \frac{1}{3^2}\\=\frac{1\cdot \:3^4}{3^2}\\=\frac{3^4}{3^2}\\=3^{4-2}\\=3^2\\=9$