Question

(8⁶:2⁶)•(10⁰•100⁸)= ?
​

Answer 1

Respuesta:

Explicación paso a paso:

(8⁶:2⁶)•(10⁰•100⁸)= ?

((2³)⁶:2⁶).(10⁰.(10²)⁸)=

(2¹⁸:2⁶).(1.10¹⁶)=

2¹².10¹⁶=

4096.10¹⁶

= 4,096. 10¹⁹

Answer 2

Respuesta:

$25^{8}$

Explicación paso a paso:

(8⁶:2⁶)•(10⁰•100⁸)

$\left(\frac{8^6}{2^6}\right)\left(10^0\cdot \:100^8\right)$

 $100^8\cdot \:1\cdot \left(\frac{8}{2}\right)^6$

  $100^8\cdot \:4^6\cdot \:1$

$\left(2^2\right)^6\cdot \:1\cdot \:100^8$                  

$2^{2\cdot \:6}\cdot \:1\cdot \:100^8$

$2^{12}\cdot \:1\cdot \:100^8$

$2^{12}\cdot \:1\cdot \left(2^2\cdot \:25\right)^8$

$2^{12}\cdot \:1\cdot \left(2^2\right)^8\cdot \:25^8$

$2^{12}\cdot \:1\cdot \:2^{16}\cdot \:25^8$

$1\cdot \:2^{12+16}\cdot \:25^8$

$1\cdot \:2^{28}\cdot \:25^8$

$2^{28}\cdot \:25^8$

$25^8$

ESPERO TE AYUDE :)