This is a free lesson from our course in Algebra I In this lesson, you'll go through definitions of exponent, root and radical notations. Basically exponents are used when a certain number raises to a certain power. For example: 34, where 3 is the base and 4 is the exponent. You'll also see how roots and exponents are inverses of each other. Note: One thing to keep in mind -- by default, the radical sign means square root. An exponent is simply shorthand for multiplying that number of identical factors. So 43 is the same as (4)(4)(4), three identical factors of 4 and x3 is just three factors of x, (x)(x)(x).One warning: Remember the order of operations. Exponents are the first operation (in the absence of grouping symbols like parentheses), so the exponent applies only to what it�s directly attached to. 3x3 is 3(x)(x)(x), not (3x)(3x)(3x). If you wanted (3x)(3x)(3x), you�d need to use grouping: (3x)3.
Other useful lessons:
 Multiplying and dividing two numbers with same base and different exponents Multiplying and dividing different bases with the same exponent Calculating and working with zero exponents Calculating and working with negative exponents Calculate the root Convert between radicals and fractional exponents
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