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Dividing Monomials

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Let's look at the rules. For all integers “m” and “n” and any nonzero number “a” …… When the problems look like this, and the bases are the same, you will subtract the exponents. ANY number raised to the zero power is equal to ONE. If the exponent is negative, it is written on the wrong side of the fraction bar, move it to the other side.

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1. Subtract the exponents 2. When dividing the coefficients or subtracting the exponents, place the answer on the side of the fraction bar that has the larger value for that term. Divide the coefficients

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**If you’re having trouble with the rules, try it like this………**

First, factor numerator and denominator into prime factors. Second, cross out like terms from top to bottom. (reduce) Third, list remaining terms and multiply them back together.

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U’s cancel Each other 3. Subtract the exponents 4. When dividing the coefficients or subtracting the exponents, place the answer on the side of the fraction bar that has the larger value for that term. Divide the coefficients

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5. Remember, if the exponent is negative, the term is written on the wrong side of the fraction bar, move it to the other side. 6. Now Subtract The Exponents

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**Now divide the coefficients but now ADD the exponents**

Fix your negative exponent 7. 8. ANY number raised to the zero power is equal to ONE.

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**Now divide the coefficients and combine the exponents**

Fix your negative exponents 9.

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**And INSIDE …… Distribute!!**

Exponents OUTSIDE And INSIDE …… Distribute!! 10. 11.

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**First – Simplify the numerator!!**

12. Then the denominator Now Subtract The Exponents

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**First – Simplify the numerator!!**

13. Then the denominator Now Subtract The Exponents

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**And INSIDE …… Distribute!!**

Exponents OUTSIDE And INSIDE …… Distribute!! 14. Fix your Negative exponents Now Subtract The Exponents

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**Steps Multiply exponents Fix negative exponents**

Any neg. number raised to even power becomes positive… Subtract exponents (unless they are beside one another—then add)

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**And INSIDE …… Distribute!!**

Exponents OUTSIDE And INSIDE …… Distribute!! 15. Fix your Negative exponents Now Subtract The Exponents

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Multiply exponents

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**And INSIDE …… Distribute!!**

Exponents OUTSIDE And INSIDE …… Distribute!! Any neg. number raised to an even power is positive Use ( ) when Typing the -4 Into calculator!

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Warmups – simplify. Hint: Divide coefficients and use rules of exponents (subtract exponents when you divide). Factors cancel!

Warmups – simplify. Hint: Divide coefficients and use rules of exponents (subtract exponents when you divide). Factors cancel!

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