7a)++Roots+and+rational+exponents

In this section you will learn how to turn radicals into rational numbers with fractional exponents and turn numbers with fractional exponents into radical form. For example, you will learn how to take the square root of x and turn it into and vice versa. The fractional exponents can be interpreted as POWER over ROOT. So, in the example of the square root of x, x becomes because x is to the 1st power and you want the square (2) root. If your equation was the 4th root of, the fractional exponent version of that equation would be ; therefore, would equal.

Like many other math concepts, rational exponents also involve a few properties:




 * When multiplying exponents – you add them
 * When taking exponents to another power - you multiply them
 * When taking a product to a power - you distribute the exponent to each variable
 * When you have a negative exponent - you take its reciprocal
 * When the exponent is 0, whatever number is being taken to the zero power is 1
 * When you divide exponents - you subtract the exponent in the numerator with the exponent in the denominator
 * When you take a fraction to a power - you distribute the exponent to both the numerator and the denominator

Here are some examples demonstrating the properties of Rational Exponents : 







WEBSITES - EXTRA HELP: [|Converting rational exponents to square roots]- This website from purplemath.com is a great website that goes through basic steps of converting rational exponents to square roots and vise versa. It also shows you how to properly enter the calculation into your calculator (how to appropriately use parenthesis).

[|Rational exponents and square roots]- This website from dummies.com shows how to convert rational exponents to square roots,roots not only with numbers, but with letters as well which may be helpful.

[|hofstra.edu]

[|the math page]