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Multiplication and Division of Exponents Notes. Multiplication Rule. In order to use this rule the base numbers being multiplied must be the same. Example:. Written in multiplication form. Using Rule. Example 1. 2*2*2. 2*2*2*2*2. Example 2. Example 3. Remember. Example 4.
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Multiplication Rule In order to use this rule the base numbers being multiplied must be the same. Example: Written in multiplication form Using Rule
Example 1 2*2*2 2*2*2*2*2
Example 3 Remember
Example 4 Multiply coefficients and add exponents of like bases
Example 5 In order to simplify you must distribute. Since you are multiplying when you distribute you must use the multiplication rule for exponents
You Try Simplify each expression 1. 2. 3, 4. 5. 6.
You TrySimplify (remember when adding only add coefficients of like terms) 1. 2. 3. 4.
Division Rule: If the bases are the same subtract the exponents OR Always do top exponent minus bottom exponent
Examples 1. 2. Divide coefficients, subtract exponents of the like bases. 3. Use multiplication rule on top, then use division rule
Special Cases ( zero power):any base raised to a power of zero equals 1 Here is why, when the number in the numerator is the same as the number in the denominator, the quotient is always 1. So it makes sense that
ExamplesSimplify 1. 2. 3.