Question

Quanto vale 60^40 / 30^20 ?

Answer 1

Resposta:

$\dfrac{ {60}^{40} }{30 {}^{20} } = \\ \\ = \dfrac{ {2}^{40} \times {30}^{40} }{ {30}^{20} } \\ \\ = {2}^{40} \times {30}^{40 - 20} \\ \\ = {2}^{40} \times {30}^{20} \\ \\ = {2}^{40} \times {2}^{20} \times 15 {}^{20} \\ \\ = {2}^{60} \times {15}^{20} \\ \\ = {2}^{20} \times {2}^{20} \times {2}^{20} \times {3}^{20} \times {5}^{20} \\ \\ = ( 2 \times 2 \times 2 \times 3 \times 5)^{20} \\ \\ = (8 \times 15)^{20} \\ \\ = \green{ ( 120)^{20} }$

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