Math 096More on Fractional Exponents and Exponent Rules--page 1 2025

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First, any number raised to the power of one equals itself. This makes sense, because the power shows how many times the base is multiplied by itself. If its only multiplied one time, then its logical that it equals itself. Secondly, one raised to any power is one.
Laws of Indices Law 1: Multiplication Law. When you multiply similar terms, you need to add their powers. Law 2: Division Law. When you divide similar terms, you need to subtract their powers. Law 3: Multiple Powers Law. Law 4: Power 0 Law. Law 5: Roots as Powers Law. Law 6: Fractional Powers Law. Law 7: Negative Powers Law.
The essential laws of exponents are as follows: am an = a. m+n am / an = a. m-n (am)n = a. mn an / bn = (a/b) n a0 = 1. a-m = 1/a. m a1n=na.
What are the 8 Laws of Exponents? Zero Exponent Law: a0 = 1. Identity Exponent Law: a1 = a. Product Law: am an = a. m+n Quotient Law: am/an = a. m-n Negative Exponents Law: a-m = 1/a. m Power of a Power: (am)n = a. mn Power of a Product: (ab)m = amb. m Power of a Quotient: (a/b)m = am/b. m
0:17 6:56 We can rewrite it as x^ the -1. Power if we have 3x^2. We can take that x^2 bring it up out of theMoreWe can rewrite it as x^ the -1. Power if we have 3x^2. We can take that x^2 bring it up out of the fraction. And write it as 3x^ -2 power then if we have square of x.
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