Dividing Monomials

Dividing Monomials

Calculate these:

10 = -3

1 / 10 = 3

÷

Negative Exponent Negative Exponent means you just flip the number.

x

-3

=

1 3 x

If there’s a negative exponent on the top, you can just move the number to the bottom.

y x y = 6 2 4 2 4 xxy xy 2

-6 2

y 1 = 8 4 = 8 2 xy x y 2

Remember this from yesterday:

(x )(x ) = x9 4

5

(x y )(x y z) = 4 5

2 3

xyz 6 8

Also remember…just like x is the same thing as 1x x is the same thing as x

1

If we add the exponents when we multiply… what about dividing?

ab 3 ab 5

6

=

a•a•a•a•a•b•b•b•b•b•b a•b•b•b (1) Remember, anything 3 divided4by3itself is equal to one! Even letters!!

a b So a bcross = just (1) ‘em out !!! 4

ab 4 3 a b = 1 3 ab 5

6

…just like you figured! When dividing the same number or letter with exponents, you subtract the exponents!

CLASSWORK PAPER 1. x2y4 xy 2. a4b5c2 ab2c2 3. d3t5g6 r5m3

Exponent Rule: any number or group raised to the power of ZERO is automatically equal to 1.

xyz

0 3 2

= (1)y z

3 2

(x y z ) = (1) 4 6 3 0

What if the whole division problem is raised to a power?

( ) ( )

zy 3 3 2 xy 5 3

zy 3 3 x 5

(z y) 3 3 (x ) 5

3

=

1. simplify inside the parentheses 2. Now the exponent can go to the numerator AND the denominator

z y 9 x

15 3

On CLASSWORK SHEET

()

4.

x 3 y

( )

5. a3 a 2b 2

4