Question

scrieti sub forma unei singure puteru 4 la puterea 20×2 la puterea 40×8 la puterea 10​

Answer 1

Răspuns:

$\bf {4}^{20} = ( {2}^{2} )^{20} = {2}^{2 \cdot 20} = {2}^{40}$

$\bf {8}^{10} = ( {2}^{3} )^{10} = {2}^{3 \cdot 10} = {2}^{30}$

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$\bf {4}^{20} \cdot {2}^{40} \cdot {8}^{10} = \\ \\ \bf = {2}^{40} \cdot {2}^{40} \cdot {2}^{30} = \\ \\ \bf = {2}^{40 + 40 + 30} = \boxed{ {2}^{110} }$