√x^10 = √(x^5)^2 = x^5
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The square root of the fifth root of x is the tenth root of x.
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.
X to the 3rd power
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)
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.