Question

Quanto é: [4^5 x (8² x 125)^14] : (10^5 x 2¹¹ x 25-¹)^4

Answer 1

Resposta:

$2^{10} x 5^{31}$

Explicação passo-a-passo:

4^5 x (8² x 125)^14] : (10^5 x 2¹¹ x 25-¹)^4=

$\frac{4^5 x [(2^{6} x (5^{3}) ^{14}]}{ ((2x5)^5. 2^{11}x (5^{2} )^{-1} )^4}$ =

$\frac{2^{10} x [(2^84) x( 5^43)]}{[(2^5) x(5^5) x (2^{11}) x (5^{-2})]^4}$ =

$\frac{(2^{94}) x( 5^{43}) }{[(2^{16}) x(5^3) ]^4}$  =

$\frac{(2^{94}) x( 5^{43})}{(2^{64}) x(5^{12})}$   =

$2^{10} x 5^{31}$