How do you rewrite $y = 4(3)^(2x+2)$ in $y = a * b^x$ form?

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Answer 1 · 2016-01-12T12:34:12

$y=4*3^(2x+2)=36*9^x$

with:

$a=36$
$b=9$

Remembering that:

$a^(p+q)=a^p*a^q$

$(a^n)^m=a^(n*m)$

then:

$y=4*3^(2x+2)=4*3^(2x)*3^2=$
$=4*9*(3^2)^x=36*9^x$

Answer 2 · 2016-01-12T12:38:15

$y=4(3)^(2x+2)hArr y=36*9^x$

$4(3)^(2x+2)$

$color(white)("XXX")=4*((3^2)^(x+1))$

$color(white)("XXX")=4*(9^(x+1))$

$color(white)("XXX")=4*(9*9^x)$

$color(white)("XXX")=4*9*(9^x)$

$color(white)("XXX")=36*9^x$

How do you rewrite y = 4(3)^(2x+2)y = 4(3)^(2x+2) in y = a * b^xy = a * b^x form?