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

Which values of a and b make the equation true? (2xy)^4/4xy=4x^ay^b-example-1

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Answer: a=3, b=3

Explanation:

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


((2xy)^4)/(4xy)=(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.

User Vit Khudenko
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