Rules of Exponents

If a number or variable does not have an exponent, we can assume the exponent is:

• 0

• 1

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

• Add

• Subtract

• Multiply

• Divide

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

• Add

• Subract

• Multiply

• Divide

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

• add

• subtract

• multiply

• divide

(5³x²y⁴)⁰ (a)  

• 5xy

• 1

• 0

• 5

(5³x²y⁴)⁰

Mathematical Equivalence

OFF

Match the following!

• SUBTRACT the exponents

• When you divide...

• ADD the exponents

• When you have a negative exponent...

• it always EQUALS 1

• When you have a power to a power...

• FLIP position and make exponent positive

• When you multiply...

• MULTIPLY the exponents

• When you have anything raised to the power of 0...

Match the following:

• 1

• 5 - x⁰

• 4

• 5 + x⁰

• 5

• (5x)⁰

• 6

• 5x⁰

Match the following

• Subtract Exponents

• Zero Exponent

• Add Exponents

• Negative Exponent

• Multiply Exponents

• Multiply Powers

• Reciprocal (Flip)

• Divide Powers

• Equals 1

• Raise to a Power

What is [ (12x³y⁵z⁷)/ (144x^-4 y⁷z^-3)]⁰

• 12(x⁷z¹⁰)

• (x⁷z¹⁰)/12y²

• 1

• (x⁷y^-2z¹⁰)/12