Question

8^3n+4^2n+2n
URGENT VA ROG FRUMOS

Answer 1

8³ⁿ + 4²ⁿ + 2n = 512ⁿ + 16ⁿ + 2n

Answer 2

Răspuns:

Explicație pas cu pas:

$8^{3n}+4^{2n}+{2^n}=(2^{3})^{3n}+(2^{2})^{2n}+{2^n}=$

$2^{3\cdot 3n}+2^{2\cdot2n}+2^n=2^{9n}+2^{4n}+2^n=2^n\cdot(2^{9n-n}+2^{4n-n}+2^{n-n})$

$2^n\cdot(2^{9n-n}+2^{4n-n}+2^{n-n})=2^n\cdot(2^{8n}+2^{3n}+1)$