Question 1148727
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Get two equations in a and b using the two given points.<br>
(1) {{{12 = a*b^3}}}
(2) {{{5 = a*b^6}}}<br>
Divide the second equation by the first; that eliminates a to give you an equation you can solve for b:<br>
{{{5/12 = b^3}}}
{{{b = (5/12)^(1/3)}}}<br>
Use that in the first equation to find a:<br>
{{{12 = a*b^3 = a(5/12)}}}
{{{a = 12/(5/12) = 12*(12/5) = 144/5}}}<br>
ANSWERS:
a = 144/5
b = (5/12)^(1/3)<br>