SOLUTION: A power function with form y= a x^p passes through the points (3, 2/81) and (6, 1/1296). Find the constants a and p I found a=6 please tell me the value of p?

Question 975062: A power function with form y= a x^p passes through the points (3, 2/81) and (6, 1/1296). Find the constants a and p
I found a=6 please tell me the value of p?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

passes through the points (, ) and (, )
Find the constants and .

if given the points :
(,)=> and
and
(, )=> and
so, we use them to form a system of equations

substitute and
.....eq.1
substitute and
.....eq.2

.....eq.1
.....eq.2..........write as and as
--------------------------------------------------------------
.....eq.1
.....eq.2
--------------------------------------------------------------------
.....eq.1
.....eq.2...substitute
--------------------------------------------------------------------------------
.....eq.1
.....eq.2
------------------------------------------------------------------subtract 1 from 2

.....eq.1...substitute for

so, your function is: => =>

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