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Objectives The student will be able to:. 1. divide monomials. 2. simplify negative exponents. SOL: A.2ab. Designed by Skip Tyler, Varina High School. Dividing Monomials. When dividing monomials, subtract the exponents. 1. 2. . = m 6 n 3. = b 5-2. = b 3. = m 7-1 n 5-2. = xy.

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objectives the student will be able to

ObjectivesThe student will be able to:

1. divide monomials.

2. simplify negative exponents.

SOL: A.2ab

Designed by Skip Tyler, Varina High School

dividing monomials
Dividing Monomials

When dividing monomials, subtract the exponents.

1.

2.

= m6 n3

= b5-2

= b3

= m7-1n5-2

slide3
= xy

= 9a3b2

simplify
Simplify
  • 48g2h2
  • 48gh2
  • 4g2h2
  • 4gh2
here s a tricky one
Here’s a tricky one!

= 1m0n

= n

What happened to the m?

They canceled out!

There are no m’s left over!

This leads us to our next rule…

zero exponents
Zero Exponents

Anything to the 0 power is equal to 1.

a0 = 1

True or False? Anything divided by itself equals one.

True!

See for yourself!

negative exponents
Negative Exponents

A negative exponent means you move the base to the other side of the fraction and make the exponent positive.

Notice that the base with the negative exponent moved and became positive!

simplify8
Simplify.
  • x-4 y0You can not have negative or zero exponents in your answer.
simplify9
Simplify
  • p2
  • p12
  • .
  • .
simplify10
Simplify.

You can’t leave the negative exponent!

There is another way of doing this without negative exponents.

If you don’t want to see it, skip the next slide!!!

simplify alternate version
Simplify (alternate version).

Look and see (visualize) where you have the larger exponent and leave the variable in that location. Subtract the smaller exponent from the larger one.

In this problem, r is larger in the numerator and s is larger in the denominator.

Notice that you did not have to work with negative exponents! This method is quicker!

simplify12
Simplify.

Get rid of the negative exponent.

slide13

Simplify.

Get rid of the negative exponents.

slide14

Simplify.

Get rid of the parentheses.

Get rid of the negative exponents.