Question

What values of x and y make the equation true? *

Answer 1

In order to make the equation true, the expression in the left side needs to have the same base and exponent of the expression in the right side.

So we have:

`(x^4)\cdot(-4^y)=(-12)^4`

Using the value of y = 4 so we have the same exponents, we have:

`x^4\cdot(-4)^4=(-12)^4`

Since the exponents are the same, we can multiply the bases and use the same exponent:

`\begin{gathered} (-4x)^4=(-12)^4 \\ -4x=-12 \\ x=3 \end{gathered}`

So the answer is x = 3 and y = 4