Question

[(+5) . (-2)³]² ?????



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Answer 1

• Expressão Numérica

$\sf \left[\left(+5\right)\:.\:\left(-2\right)^3\right]^2\\\\\\\sf \left(5\left(-2\right)^3\right)^2=5^2\left(\left(-2\right)^3\right)^2\\\\\\\sf =5^2\left(\left(-2\right)^3\right)^2\\\\\\\sf =25\left(\left(-2\right)^3\right)^2\\\\\\\sf =25\left(-2^3\right)^2\\\\\\\sf \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\\\\\sf =25\cdot \:2^{3\cdot \:2}\\\\\\\sf =25\cdot \:2^6\\\\\\\sf =25\cdot \:64\\\\\\\boxed{\sf S=\{ 1600 \}}$