Question

O valor da expressão numérica [(-1/2)⁴ ÷ (-1/2)³] x (-1/2)⁶ + 2⁻⁷ é

Answer 1

$\boxed{\boxed{Ola\´ \: \: SweetBunnydied} }$

$\textbf{Propriedade(s):}$
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$a^x \times a^y = a^{x + y}$
$a^x \div a^y = a^{x - y}$
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$\Big[ \big( - \frac{1}{2} \big)^4 \div \big( - \frac{1}{2} \big)^3 \Big] \times \big( - \frac{1}{2} \big)^6 + 2^{-7} \\ \\ = \big( - \frac{1}{2} \big)^{4 - 3} \times \big( - \frac{1}{2} \big)^6 + 2^{-7} \\ \\ = \big( - \frac{1}{2} \big)^{1} \times \big( - \frac{1}{2} \big)^6 + 2^{-7} \\ \\ = \big( - \frac{1}{2} \big)^{1 +6} + 2^{-7} \\ \\ = \big( - \frac{1}{2} \big)^{7} + \big( \frac{1}{2} \big)^{7} \\ \\ = - \frac{1}{128} + \frac{1}{128} \\ \\ = - \cancel{\frac{1}{128}} + \cancel{\frac{1}{128} }$

$= \boxed{\boxed{0} }} \end{array}\qquad\checkmark$

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