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

2 Answers
Jan 12, 2016

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

with:

a=36
b=9

Explanation:

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

Jan 12, 2016

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

Explanation:

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