Question

Which value of a and b make the equation true? (2xy)4

Answer 1

An equation is formed of two equal expressions. The correct option is B.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The complete option is:

Which values of a and b make the equation true?

$\dfrac{(2xy)^4}{4xy}=4x^ay^b$

A)a = 0, b = 0

B)a = 3, b = 3

C)a = 4, b = 4

D)a = 5, b = 5

The given equation can be simplified as shown below,

$\dfrac{(2xy)^4}{4xy}=4x^ay^b\\\\\dfrac{2^4 \times x^4 \times y^4}{4xy}=4x^ay^b\\\\\dfrac{16x^4y^4}{4xy} = 4x^ay^b\\\\4x^{(4-1)}y^{(4-1)} = 4x^ay^b\\\\4x^3y^3 = 4x^ay^b$

Now, comparing the two sides of the equation, the value of a and b should 3 for the equation to be satisfied.

Hence, the correct option is B.

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