Question

1- indique sob forma de potencia de base 2 o numero representado pela expressao: 1/2^-3 : 1/2^2 . (8^2)^2

2-calcule o valor da expressao: 4^1/2- 2^1 +(-3)^0 + (-0,1)^0 . (25^-1)^0

Answer 1

1)

$\dfrac{ (\dfrac{1}{2})^-^3}{ (\dfrac{1}{2})^2 } * (8^2)^2 \\ \\ \\ \dfrac{ (\dfrac{2}{1})^3}{ (\dfrac{1}{4}) } * (8^4) \\ \\ \\ \dfrac{ 8}{ (\dfrac{1}{4}) } * 2^1^2 \\ \\ \\ 8 * { \dfrac{4}{1} } * 2^1^2$

$32 * 2^1^2 \\ \\ \\ 2^5 * 2^1^2 => 2^1^7$

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$4^\frac{1}{2} - 2^1 + (-3)^0 + (-0,1)^0 * (25^-^1)^0 \\ \\ \\ 2- 2 + (1) + (1) * 1 \\ \\ 1 + 1 => 2$