Respuesta:
a) 25
b) -1024
c) -8
d) [tex]\frac{1}{18.49}[/tex]
Explicación paso a paso:
a) Procedimiento:
[tex]\frac{\left(-5\right)^3\left(-5\right)^4}{\left(-5\right)^5}\\\\=\frac{\left(-5\right)^4}{\left(-5\right)^2}\\\\=\left(-5\right)^{4-2}\\\\=\left(-5\right)^2\\\\=25[/tex]
b) Procedimiento:
[tex]\left[\left(-4\right)^3\right]\left(-4\right)^2\\\\\left(-4\right)^3\\\\=-64\\\\=-64\left(-4\right)^2\\\\=16\\\\=-64\cdot \:16\\\\=-1024[/tex]
c) Procedimiento:
[tex]\frac{\left(\left(-2\right)\left(-2\right)\left(-2\right)\right)^8}{\left(\left(-2\right)^7\right)^3}\\\\=\frac{\left(-2\cdot \:2\cdot \:2\right)^8}{\left(\left(-2\right)^7\right)^3}\\\\=\frac{8^8}{\left(\left(-2\right)^7\right)^3}\\\\=\frac{8^8}{-\left(2^7\right)^3}\\\\=-\frac{8^8}{\left(2^7\right)^3}\\\\=-\frac{8^8}{2^{21}}\\\\=-2^3\\\\=-8[/tex]
d) Procedimiento :
[tex]\frac{4.3^4}{4.3^6}\\\\=4.3^{4-6}\\\\4-6=-2\\\\=4.3^{-2}\\\\=\frac{1}{4.3^2}\\\\=\frac{1}{18.49}[/tex]
