Question

a) (3³)² ÷ (3x2)²
B) (2³x2²)³ ÷ (2²)³
C) (2³)⁴x(3³)²x(4x3)⁴
D) (-27)²
E) (0,1)³​

Answer 1

Explicação passo-a-passo:

$a)\\ (3^3)^2\div(3\times2)^2=\\ \\ 3^6\div3^2\times2^2=\\ \\ 3^{6-2}\times2^2=\\ \\ 3^4\times2^2$

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$b)\\ (2^3\times2^2)^3\div(2^2)^3=\\ \\ (2^{3+2})^3\div2^6=\\ \\ (2^5)^3\div2^6=\\ \\ 2^{15}\div2^6=\\ \\ 2^{15-6}=2^9$

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$c)\\ (2^3)^4\times(3^3)^2\times4^4\times3^4=\\ \\ 2^{12}\times3^6\times(2^2)^4\times3^4=\\ \\ 2^{12}\times2^8\times3^6\times3^4=\\ \\ 2^{12+8}\times3^{6+4}=\\ \\ 2^{20}\times3^{10}$

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$d)\\ (-27)^2=(-27)(-27)=729$

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$e)\\ (0,1)^3=(0,1)(0,1)(0,1)=0,001$