Question

Sendo a= (2²)³, b= 8² e c= 16¨³ , calcule o produto de a x b x c

Answer 1

Resposta:

1

Explicação passo a passo:

$a\cdot b\cdot c=\left(2^2\right)^3\cdot \:8^2\cdot \:16^{-3}$

$=2^6\cdot \:8^2\cdot \:16^{-3}$

$=2^6\cdot \:8^2\cdot \frac{1}{16^3}$

$=2^6\left(2^3\right)^2\frac{1}{16^3}$

$=2^6\cdot \:2^{3\cdot \:2}\cdot \frac{1}{16^3}$

$=2^6\cdot \:2^6\cdot \frac{1}{16^3}$

$=2^{6+6}\cdot \frac{1}{16^3}$

$=2^{12}\cdot \frac{1}{16^3}$

$=\frac{1\cdot \:2^{12}}{16^3}$

$=\frac{2^{12}}{16^3}$

$=\frac{2^{12}}{2^{12}}$

$=1$