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Multiplication of Exponents. By: Terri LeGault. Multiplication of Exponents. Mulitplication Property: Whenever you multiply two terms with the same base you can add the exponents. x m * x n =x (m+n) , x raised to m times x raised to n equals x raised to m plus n. Example:
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Multiplication of Exponents By: Terri LeGault
Multiplication of Exponents • Mulitplication Property: Whenever you multiply two terms with the same base you can add the exponents. xm * xn =x (m+n) , x raised to m times x raised to n equals x raised to m plus n. • Example: x5 *x2 =x (5+2) = (x*x*x*x*x)+(x*x)= (x*x*x*x*x*x*x)
Multiplication Cont. • When you see this (xn)m, do not add m and n together, you multiply them. • Examples: (x2)5 = x10, 5 times 2. (73)4 = 712, 4 times 3. (21)-5 = 2-5, 1 times -5
Common Mistakes • Do not multiply the base and the exponent. 3 to the power of 3 does not equal 9, it equals 27. • The Multiplication rule only applies to expressions with the same base.
Mistakes Cont. • The multiplication rule applies just to the product, not to the sum of two numbers.
Worksheet and Answers • Multiplication Property Worksheet • Answers for Worksheets