What value of k makes the statement true? x ^ k * y ^ 4 * (2x ^ 3 + 7x ^ 2 * y ^ 4) = 2x ^ 4 * y ^ 4 + 7x ^ 3 * y ^ 8

k=1

Step-by-step explanation:

Let us simplify the left hand side of the given expression .

The exponent of the like terms gets added on multiplication like

Now we compare the left hand side expression with the right hand side.

Since they should be equal to each other , so comparing their exponents and equating them.

Exponents of should be same on either side.

Therefore,  

Similarly on comparing the other 'x' exponent

Thus is the required answer.

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step-by-step explanation:

i hope this : )