Exponent Rules Practice

Multiplying Monomials

• Keep the base• Add the exponents• Multiply Coefficients if you see any

• Keep the base• Add the exponents• Multiply

Coefficients if you see any

• Keep the base• Add the exponents• Multiply

Coefficients if you see any

• Keep the base• Add the exponents• Multiply

Coefficients if you see any

• Keep the base• Add the exponents• Multiply

Coefficients if you see any

∙

• Keep the base• Add the exponents• Multiply

Coefficients if you see any

• Keep the base• Add the exponents• Multiply

Coefficients if you see any

• Keep the base• Add the exponents• Multiply

Coefficients if you see any

Dividing Monomials

• Keep the base• SUBTRACT the Exponents• Use a button for coefficients if you see any

68

65• Keep the base

• SUBTRACT the Exponents

• Use a button for coefficients if you see any

1011

107• Keep the base

• SUBTRACT the Exponents

• Use a button for coefficients if you see any

𝑧8

𝑧3• Keep the base

• SUBTRACT the Exponents

• Use a button for coefficients if you see any

12𝑛5

8𝑛2• Keep the base

• SUBTRACT the Exponents

• Use a button for coefficients if you see any

6 𝑥7

36 𝑥3• Keep the base

• SUBTRACT the Exponents

• Use a button for coefficients if you see any

15 𝑦7

5 𝑦3• Keep the base

• SUBTRACT the Exponents

• Use a button for coefficients if you see any

14𝑎3𝑏4

4 𝑎1𝑏1• Keep the base

• SUBTRACT the Exponents

• Use a button for coefficients if you see any

63𝑚5𝑛6

27𝑚1𝑛1• Keep the base

• SUBTRACT the Exponents

• Use a button for coefficients if you see any

Negative and Zero Exponents

• Switch the line for unhappy exponents• Anything to the zero power becomes a 1

5− 2• Switch the line for

unhappy exponents

• Anything to the zero power becomes a 1

10,0000• Switch the line for

unhappy exponents

• Anything to the zero power becomes a 1

3 𝑦−2• Switch the line for

unhappy exponents

• Anything to the zero power becomes a 1

𝑎−7𝑏3• Switch the line for

unhappy exponents

• Anything to the zero power becomes a 1

4𝑎−6• Switch the line for

unhappy exponents

• Anything to the zero power becomes a 1

𝑏− 3𝑐0• Switch the line for

unhappy exponents

• Anything to the zero power becomes a 1

Putting Things Together

• You may have to combine some rules on the following problems. Don’t freak out! Just do one step at a time.

Multiply AND Divide

• Multiply the Monomials on the top first.

• THEN, divide the new terms

2𝑥6 ∙4 𝑥3

24 𝑥5Multiply the Monomials on the top first.

THEN, divide the new terms

3𝑎❑ ∙4 𝑎4

28𝑎2Multiply the Monomials on the top first.

THEN, divide the new terms

6 𝑧 9∙8 𝑧 3

27 𝑧 2Multiply the Monomials on the top first.

THEN, divide the new terms

Divide AND Negatives Rule

• Divide the Monomials first.

• THEN, deal with the negative exponents

𝑎6𝑏4

𝑎3𝑏7• Divide the Monomials first.

• THEN, deal with the negative exponents

𝑐2𝑑6

𝑐5 𝑑❑• Divide the Monomials

first.

• THEN, deal with the negative exponents

𝑚8𝑛4

𝑚2𝑛9• Divide the Monomials first.

• THEN, deal with the negative exponents

𝑥2 𝑦❑

𝑥10 𝑦7• Divide the Monomials first.

• THEN, deal with the negative exponents