Question

Calculați 2^4+2^3*[(2^16)^5:2^77+2*2^55:2^53]:4^3

Answer 1

Răspuns: $\bf \pink{\underline{~18~}}$

Explicație pas cu pas:

$\bf 2^4+2^3\cdot\Big[\big(2^{16}\big)^5:2^{77}+2\cdot2^{55}:2^{53}\Big]:4^3=$

$\bf 2^4+2^3\cdot\Big(2^{16\cdot5}:2^{77}+2^{1+55-53}\Big):\big(2^2\big)^3=$

$\bf 2^4+2^3\cdot\Big(2^{80}:2^{77}+2^{3}\Big):2^{2\cdot 3}=$

$\bf 2^4+2^3\cdot\Big(2^{80-77}+2^{3}\Big):2^{6}=$

$\bf 2^4+2^3\cdot\Big(2^{3}+2^{3}\Big):2^{6}=$

$\bf 2^4+2^3\cdot2^3\cdot\Big(2^{3-3}+2^{3-3}\Big):2^{6}=$

$\bf 2^4+2^3\cdot2^3\cdot\Big(2^{0}+2^{0}\Big):2^{6}=$

$\bf 2^4+2^{6}\cdot\big(1+1\big):2^{6}=$

$\bf 2^4+2^{6}\cdot2:2^{6}=$

$\bf 2^4+2^{6+1-6}=2^4+2^{1}=$

$\bf 16 + 2 =$

$\bf \pink{\boxed{\bf ~18~}}$

$==pav38==$