How do you solve $g (y) = 6 \cdot {(\frac{1}{2})}^{y}$ $g(y) = 6*(1/2)^y$ for $y = 2$ $y=2$ ?

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Answer 1 · 2018-03-24T01:05:01

$g (2) = \frac{3}{2}$ $g(2) = frac{3}{2}$

Substitute 2 for y in the original function:
$g (2) = 6 \cdot {(\frac{1}{2})}^{2}$ $g(2) = 6 * (frac{1}{2})^2$

First, simplify ${(\frac{1}{2})}^{2}$ $(frac{1}{2})^2$ :
$g (2) = 6 \cdot \frac{1}{4}$ $g(2) = 6 * frac{1}{4}$

Next multiply $6 \cdot \frac{1}{4}$ $6 * frac{1}{4}$ :
$g (2) = \frac{6}{4}$ $g(2) = frac{6}{4}$

Then simplify the fraction $\frac{6}{4}$ $frac{6}{4}$ :
$g (2) = \frac{3}{2}$ $g(2) = frac{3}{2}$

How do you solve g(y) = 6*(1/2)^yg(y)=6⋅(12)yg(y) = 6*(1/2)^y for y=2y=2y=2?