Challenging Exponent Rules

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

Anything raised to the power of zero is always: 

• 0

• 1

• itself

• negative

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

Answer the questions below.

d

e

f

c

144

2

12

24

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

• 12(x⁷z¹⁰)

• (x⁷z¹⁰)/12y²

• 1

• (x⁷y^-2z¹⁰)/12

  simplify    7^-2

• 1/7² = 1/49

• -49

• -14

• 1/14

Simplify to an equivalent expression BUT leave in exponent form.
                                   4³⋅4⁵

• 4⁸

• 16⁸

• 4¹⁵

• 16¹⁵