The square root is nearly the inverse operation of squaring or raising to the second power. Nearly but not quite!
So sqrt(682) = ±68
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The square root of 2 raised to the fifth power equals 5.65685424949
You divide the exponent by 2 The square root of a number is that number to the 1/2 power So for examle square root of x cubed (x^3) is x^3 to the half power =x^3/2 (x to the 3/2 power)
The square root of x to the 10th power is x to the 10th power raised to the 1/2 power, which simplifies to x to the 10/2 power. This further simplifies to x to the 5th power. Therefore, the square root of x to the 10th power is x to the 5th power.
The square root of 16n to the power of two, (√16n)2 is just simply 16n. Any number or monomial that is squared after the square root is taken is just the number itself, since squaring is the inverse property of taking the square root of something.
Oh, dude, the square root of x to the power of 5 is x to the power of 5 divided by 2. I mean, like, you're just splitting that power in half, you know? So, if x is raised to the power of 5, taking the square root is like dividing that power by 2. Easy peasy, lemon squeezy.