Intro to Algebra 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

Answer the questions below.

d

e

f

c

12

2

24

144

Match the following.

• Multiply the exponents

• Subtract the exponents

• Add the exponents

Simplify:   x² ⋅ x⁵

• x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x 

• x⁷

• x¹⁰

• x ⋅ x

Simplify:  3x³ ⋅ 3x

• 3²x⁴

• 3 ⋅ x ⋅ x ⋅ x ⋅3 ⋅ x 

• 9x⁴

• 3x⁴

Simplify the expression:
(3x⁴ - 4 - 5x²) - (1 - x² + 2x³)

• 3x⁴ - 2x³ - 4x² - 5

• 3x⁴ - 7x³ - 4x² - 5

• 3x⁴ - 7x³ - 4x² - 4

• 3x⁴ - 5x³ - 4x² - 4

Simplify and leave in exponent form
                            8²/8⁵

• 8³

• 8^2-5 = 8^-3 = 1/8³

• 8^-3

• 8⁷