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

Question

asked Nov 7, 2023 206k views

1 Answer

Nitrogen · Answer 1 · 2023-11-13T05:12:00+0000

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