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: 3^{4}, 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 4^{3} is the same as (4)(4)(4), three identical factors of 4 and x^{3} 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. 3x^{3} is 3(x)(x)(x), not (3x)(3x)(3x).
If you wanted (3x)(3x)(3x), you’d need to use grouping: (3x)^{3}.
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