Question 1158809
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The general form is {{{y = ab^x}}}<br>
Form equations using both given points:
{{{1/2 = ab^(-1)}}}
{{{32 = ab^2}}}<br>
Divide the second equation by the first to eliminate a:
{{{64 = b^3}}}
{{{b = 4}}}<br>
Use this b value in either original equation to determine a:
{{{32 = a(4^2)}}}
{{{32 = 16a}}}
{{{a = 2}}}<br>
a=2; b=4.  The equation is<br>
{{{y = 2(4^x)}}}<br>