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

What Values Of X And Y Make The Equation True class=

Sagot :

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:

[tex](x^4)\cdot(-4^y)=(-12)^4[/tex]

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

[tex]x^4\cdot(-4)^4=(-12)^4[/tex]

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

[tex]\begin{gathered} (-4x)^4=(-12)^4 \\ -4x=-12 \\ x=3 \end{gathered}[/tex]

So the answer is x = 3 and y = 4

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