Final answer:
The square root of x can be rewritten as a fraction by expressing it as x to the power of ½.
Step-by-step explanation:
To rewrite the square root of x as a fraction, we can use the concept of fractional exponents. The square root of a number is the same as that number raised to the power of ½. Therefore, √x can be expressed as x½. This is because when you multiply x½ by itself, or x½ × x½, you add the exponents (½ + ½ = 1), resulting in x1 which simplifies to just x, confirming that x½ is indeed the square root of x.
The concept that negative exponents denote division is related but not directly applicable to expressing a square root as a fraction. However, it's useful to understand that if you have, for example, x-1, it equates to 1/x. This inversion of the base to the denominator is similar to how square roots can be represented using fractional powers.