Which values of a and b make the equation true? (2xy)^4 =4x^a (y^b) 4xy
a)a = 0, b = 0
b)a = 3, b = 3
c)a = 4, b = 4
d)a = 5, b = 5

B) a = 3, b = 3 .

Step-by-step explanation:

Given : = .

To find : Which values of a and b make the equation true.

Solution : We have given that = .

By exponential  same base rule : if base are same then power will be add.

= .

Solving exponent

16 =  .

On equating x variable

=  .

By exponent rule : if =   then m =n.

So, 4 = a+1

On subtracting by 1 both sides

a = 3.

On equating y variable ,

4 = b+1

On subtracting by 1 both sides

b = 3 .

Therefore, B) a = 3, b = 3 .

the answer is 40.

proof: