Pretest 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

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

• Nadine is incorrect because she should have applied the quotient of powers rule first.

• Nadine is correct because she correctly applied the power of a product rule.

• Nadine is correct because she correctly applied the power of a product rule.

• Calvin is correct because he correctly applied the quotient of powers rule.

• 5⁸

• 5⁶

• 5²

• 1

Simplify: x ∙ x ∙ x ∙ x ∙ x  ∙ x

• x⁶

• 6x

• x³

• 6x⁶

• 9^-4
• 9^-45
• 3^-4
• 3^-45

• 4⁹
• 4⁴⁴
• 4²¹
• 4¹⁵