Question

[2008^0+(3^2)^20:(3^13)^3]^30:8^20​

Answer 1

Răspuns:

$\bf \red{ \underline{{2}^{ 0} = 1}}$

Explicație pas cu pas:

$\bf \Big[2008^0+ \big(3^2 \big)^{20}: \big(3^{13} \big)^3 \Big]^{30}:8^{20} =$

$\bf \Big(1+ 3^{2 \cdot20}: 3^{13 \cdot3}\Big)^{30}:8^{20} =$

$\bf \Big(1+ 3^{40}: 3^{39}\Big)^{30}: \big({2}^{3} \big) ^{20} =$

$\bf \Big(1+ 3^{40 - 39}\Big)^{30}: {2}^{3 \cdot20} =$

$\bf \Big(1+ 3^{1}\Big)^{30}: {2}^{60} =$

$\bf \big(4\big)^{30}: {2}^{60} = \big( {2}^{2} \big)^{30}: {2}^{60} =$

$\bf {2}^{2 \cdot30}: {2}^{60} = {2}^{60}: {2}^{60} =$

$\bf {2}^{60 - 60} = \red{ \underline{{2}^{ 0} = 1}}$

==pav38==

Baftă multă !