korbinwilkinsen
contestada

WILL GIVE A BRAINLIEST IF THE ANSWER IS CORRECT!!! PLEASE HELP ASAP!!

Find the value of x in the expression (2a^4b^2)^x=4a^8b^4.

A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5

Respuesta :

apologiabiology
remember
[tex](ab)^c=(a^c)(b^c)[/tex]
and
[tex](a^b)^c=a^{bc}[/tex]
so

[tex](2a^4b^2)^x=(2^x)(a^{4x})(b^{2x})[/tex]

so
[tex](2^x)(a^{4x})(b^{2x})=4a^8b^4[/tex]
we can see from the 2^x=4 that x=2
and 4 times 2=8
and 2 times 2=4

x=2
answer is A

Otras preguntas