Answer:
x = 328
Step-by-step explanation:
We can "undo" that 1/2 power by squaring. A 1/2 power is the same thing as a square root. You "undo" square roots by squaring. So we will square the left side to eliminate the power. But because this is an equation, if we do that to the left side, we also have to do that to the right side:
[tex][(4x-16)^\frac{1}{2} ]^2=36^2[/tex]
Since squaring "undoes" a square root, on the left side we have 4x - 16. On the right, we will square 36:
4x - 16 = 1296 so
4x = 1312 and
x = 328
