MonomialsWith assistance from the cast

of….

The Basics:

These are monomials:

b

8

zyxabs

-7x5

xaybzc

Are these monomials?

5b+70

3x-3

-p+7y

Seriously?

No.Seriously? No.

X5

X2 = x 5-2

= x3

To Divide:

Subtract exponents with like bases

Hint: this is for visual purposes only, do not leave

exponents in the denominator.

X2 ÷ X5 = X2 = 1 * X * X = 1

X X* X* X* X* X X3

Let’s break this down a little:

X5 divided by X2

(X·X·X·X·X)÷(X·X)

X3

9x7 divided 3x4

(9·X·X· X·X·X·X)÷(X·X·X·X)

3x3

To multiply:add the exponents together

42 · 43 = 4(2+3)

= 45

am · an = a(m+n)

X2 · X5 = X(2+5) = X7

Let’s break this down a little:

X4 times X3

(X·X·X·X)(X·X·X)

X7

3x2 times -6x2

(3·X·X)(-6·X·X)

-18x4

mmhmmm

Exponents

Multiply the exponents

(X4)2=X8

(X4)2=X8 (X2)2=X4

(10x2y4)2=10x4y8

farewell from your friends…