Question

resuelvan aplicando propiedades:
A. (-3)²×(-3)³÷(-3)⁴=
B. [(-5)³]²÷(-5)²=
C.[(-1)×(-2)×(-3)]⁶÷[(-6)³]²=​

Answer 1

Respuesta:

Explicación paso a paso:

A. (-3)²×(-3)³÷(-3)⁴

$\frac{\left(-3\right)^2\left(-3\right)^3}{\left(-3\right)^4}\\\\\frac{\left(-3\right)^3}{\left(-3\right)^2}\\\\\left(-3\right)^{3-2}\\\\\left(-3\right)^1\\\\-3$

B. [(-5)³]²÷(-5)²

$\frac{\left(\left(-5\right)^3\right)^2}{\left(-5\right)^2}\\\\\left(\frac{\left(-5\right)^3}{-5}\right)^2\\\\\left(5^2\right)^2\\\\5^{2\cdot \:2}\\\\5^4\\\\625$

C.[(-1)×(-2)×(-3)]⁶÷[(-6)³]²

$\frac{\left(\left(-1\right)\left(-2\right)\left(-3\right)\right)^6}{\left(\left(-6\right)^3\right)^2}\\\\\frac{\left(-1\times \:2\times \:3\right)^6}{\left(\left(-6\right)^3\right)^2}\\\\\frac{6^6}{\left(\left(-6\right)^3\right)^2}\\\\\frac{6^6}{\left(6^3\right)^2}\\\\\frac{6^6}{6^6}\\\\1$