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.
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.
Raising to the one half (1/2) power is the same as taking the square root.
The square root of 2 to the power of 10 = 32
Two to the power 8 (28) is 256 The square root of 256 is 16. When you take the square root of a number raised to a power y, divide that power by 2 (y/2) and that gives the square root. So the square root of 28 = 28/2 = 24 = 16
12... 12 to the power 2 is 144. the square root of 144 is 12
The square root of 2 raised to the fifth power equals 5.65685424949
2
A square root is a number raised to the exponent (power) 1/2.
36
ok lets let x=4. The square root of 4 to the 2nd power + 4= 8. The square root and power of 2 cancel out? Is that what you mean?
Something to the power of 1/2 is the same as the square root of a number so 25 to the power of a 1/2 = the square root of 25 = 5
16 to the power (1/2) is the same as the square root of 16 - that is, 4.16 to the power (1/2) is the same as the square root of 16 - that is, 4.16 to the power (1/2) is the same as the square root of 16 - that is, 4.16 to the power (1/2) is the same as the square root of 16 - that is, 4.
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)
There are two square roots of i: (-1/square root 2)(1+i) and (1/square root 2)(1+i) so these are i to the one half power. Now to find -i to the one half power, multiply either of these by i, since i2 is -1. So (-i/square root 2)(1+i) and (i/square root 2)(1+i) are the square roots of -i. Verify this by direct multiplication.