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Fractional Exponents. Also called "Radicals" or "Rational Exponents" Whole Number Exponents. First, let us look at whole number exponents: The exponent of a number says how many times to use the number in a multiplication. In this example: 82 = 8 × 8 = 64.
If an exponent of a number is a fraction, it is called a fractional exponent. Exponents show the number of times a number is replicated in multiplication. For example, 4 2 = 4×4 = 16. Here, exponent 2 is a whole number. In the number, say x 1/y, x is the base and 1/y is the fractional exponent.
Fractional powers, also called rational exponents, are a different way of writing roots of numbers, the numerator is the power of the term inside the root and the denominator is the power of the root.
Remember, an exponent tells you to multiply the base (1/2) by the number of times in the exponents. (1/2)^2 = (1/2)(1/2) = (1*1)/(2*2) = 1/4 Here's the video: https://www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:cc-6th-exponents-and-order-of-operations/x0267d782:powers-of-fractions-and-decimals/v/powers-of-fractions
Fractional exponents. While positive integer exponents tell us how many times to multiply the base, and negative exponents tell us how many times to divide by the base, fractional exponents involve a combination of powers and roots.
Simplify fration exponents (rational exponents). How to do this explained with examples and practice problems.
6 Φεβ 2017 · This algebra 2 video tutorial explains how to simplify fractional exponents including negative rational exponents and exponents in radicals with variables.
