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Monomials

Monomials. Dividing and Reducing Monomials. Zero Property of Exponents A nonzero number to the zero power is 1:. The Zero Power Rule. Simplify the following expression:. Quotient of Powers. Step 1 : Write out the expressions in expanded form.

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Monomials

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  1. Monomials Dividing and Reducing Monomials

  2. Zero Property of Exponents A nonzero number to the zero power is 1: The Zero Power Rule

  3. Simplify the following expression: Quotient of Powers • Step 1: Write out the expressions in expanded form. • Step 2: Cancel matching factors (A factor is a term that is multiplied by the rest of the expression; here, ‘a’ is a factor.).

  4. For all values, a, and all integers m and n: Quotient of Powers Rule Let’s look at the results: Notice: • the base is still ‘a’. • the power is 2 = (7 - 5). • the term that didn’t cancel is in the numerator (where the larger power was to begin with).

  5. Quotient of Powers Rule

  6. Dividing Monomials These monomials have coefficients and more than one variable. Reduce the coefficients as you would with a typical fraction and use the power rule for the variables.

  7. Simplify the following: Power of a Quotient • Step 1: Distribute the power to both the numerator & denominator. • Step 2: Find the powers of the numerator & denominator. • Step 3: Reduce if you can.

  8. For any numbers, a & b, and all integers m, Power of a Quotient Rule

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