Question

Which values of a and b make the equation true? (2xy)^4/4xy=4x^ay^b

Answer 1

Answer: a=3, b=3

Step-by-step explanation:

Let's rewrite this expression on the left side so that it matched the form on the right side.

$\frac{(2xy)^4}{4xy}=\frac{16x^4y^4}{4xy}=4x^3y^3$

Now, you can see the left side matches the same form as the right side.

4x³y³=4xᵃyᵇ

Since they're the same equation, a=3 and b=3.