Question

Simplifica las siguientes expresiones haciendo uso de las propiedades de las
potencias.

a) (4
3
)
3 = 4 = 4 =

b) 5
4 x 5
2 = 5 = 5 =

c) 4
3x 3
3 = ( ) = ( ) = x x x =

d) = ( ) = = x x =

e) 6,432
0 =

Answer 1

Respuesta:

\frac{(-5)^{3}.4^{6}.(-5)^{2}}{4.(-5)^{4}}  

= \frac{(-5)^{3+2}.4^{6}}{4.(-5)^{4}}  

= \frac{(-5)^{5}.4^{6}}{4.(-5)^4}  

=(-5)^{5-4}.4^{6-1}

=-5120

\frac{[(-2)^{3}]^{4}.(2^{2})^{3}.[(-3)^{4}]^{3}}{2^{5}.(-2)^{5}.(-3)^{12}}

= \frac{(-2)^{12}.2^{6}.(-3)^{12}}{2^{5}.(-2)^{5}.(-3)^{12}}  

=(-2)^{12-5}.2^{6-5}.(-3)^{12-12}

=(-2)^{7}.2^{1}.(-3)^{0}

=-256

= \frac{(-5)^{6}.3^{4}.(-5).3^{5}}{3^{3}.(-5)^{3}.(-5)^{2}}  

= \frac{(-5)^{7}.3^{7}}{3^{3}.(-5)^{5}}  

=(-5)^{7-5}.3^{7-3}

=(-5)^2.3^{4}

=2025

Explicación paso a paso: