Question

Determine o valor de:

y=(2⁻² . 2⁰): 4⁻¹ . (1/2)⁻³

Answer 1

${2}^{ - 2} = \frac{1}{4} \\ {2}^{0} = 1 \\ {4}^{ - 1} = \frac{1}{4} \\ {(\frac{1}{2} )}^{ - 3} = 8 \\ \\ y = \frac{ \frac{1}{4} \times 1 }{ \frac{1}{4} \times 8} \\ y = \frac{1}{8} = 0.125$

Answer 2

Resolvendo temos:
$y = \frac{2^{-2}.2^{0}}{4^{-1. (\frac{1}{2})^{-3} }}$

$y= \frac{ (\frac{1}{2})^{2} }{ \frac{1}{4. \frac{1}{ (\frac{1}{2})^{3} } } }$

$y= \frac{ \frac{1}{4} }{ \frac{1}{4}.8 }$

$y = \frac{1}{8}$

Espero ter ajudado, bons estudos!