A root is like a fractional power. (x^(1/4))^(1/2) You multiply the exponents and get x^(1/8) or eighth root of x.
The equation is equivalent to 'x to the power of 4 thirds' times 'x to the power of 2.5'.Multiplyling them together, we simply add the powers, giving 'x to the power of 23/6' or the 'sixth root of x to the power of 23'.
∛(x4) √(x5) = x4/3x5/2 = x8/6x15/6 = x23/6
the square root of x*x is x if there is a 3 then a square root it is acutally cube root. the cube root of x*x*x is x if there is a 4 then a check symbol then that is fourth root. the fourth root of x*x*x*x is x. the square root of 16 is 4(4*4=16). the fourth root of 16 is 2(2*2*2*2=16).
The fourth root of fifteen raised to the third power is 7.622 (rounded).
This is written x4/3 . In fractional exponents, the denominator is the root and the numerator is the power. It may help to note that x 1/3 is another way to write "cube root of x" and x4/3 = (x4)1/3
The square root of x squared is x, or x to the first power.
By radical, I am assuming that you mean square root, not cube root, quartic root, or otherwise. If this is the case, then we can use fractional exponents to help. Change sqrt(x) to x^(1/2), or x to the one half power. Then we take a radical of a radical which becomes sqrt(x^(1/2)) = (x^(1/2))^(1/2) = x^(1/4). When we raise a power to a power, we multiply exponents. So the answer to the square root of the square root of x is x to the one fourth power, or the 4th root of x.
x to the 5th power times y to the fourth power
The cube root of 2564 is: 1,625.49868