halllllpppp!! quicc as a cat meow

Hello peepeepuupuu, your username is bad.

I'm not sure if this is even possible, but:

(1) $ab^4=384$

(2) $a^2b^5=4608$

(2) divided by (1) is $\frac{a^2b^5}{ab^4}=\frac{4608}{384}$

$ab=12$

Plugging back in:

$b=\frac{12}{a}$

$a(\frac{12}{a}^4)=384$

$12(\frac{12}{a}^3)=384$

$(\frac{12}{a})^3=32$

$32a^3=12^3$

$a^3=54$

$\boxed{a=3\sqrt[3]{2}}$ I'm not sure if this is correct because I've never divided two equations before.

Thanks!! It was correct though, so yay! also my sister made the username so yee