Exponents Day 2

Laws of Exponents

Poll

Pick the one with the exponent.

• $$x^2$$  

• $$x_2$$  

• $$2x$$  

• $$\log_2x$$  

Multiple Choice

Write each product using an exponent.  7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 

• 7⁷

• 7⁸

• 8⁷

• 7⁹

Multiple Choice

What operation do you use with exponents?

• addition

• subtraction

• multiplication

• division

Multiple Choice

Write each product using an exponent.  4 x 4 x 4 x 4 x 4 

• 4⁵

• 5⁴

• 4⁶

• 4⁶

Multiplication Rule

Add the Exponents for all like terms.

Symbols:
(a^x) × (a^y) = a^x+y
OR
(a²) × (a³) = a⁵

Multiplication Rule

Add the Exponents for all like terms.

Numbers:
2³×2⁵ = 2⁸ = 256
OR
7³ × 7^-1 = 7² = 49

Multiple Choice

Simplify the expression:  c⁴⋅c³=

• ^c12

• c⁴⁺³

• c⁷

Multiple Choice

Simplify the expression: 3x²⋅x²=

• 3x

• 3x²⁺²

• 3x⁴

Multiple Choice

(3⁴)(3⁷)

• 3²⁸

• 3³

• 3^-3

• 3¹¹

Multiple Choice

(x⁸)(x^-5)

• x^-40

• x^-13

• x¹³

• x³

Multiple Choice

$$x^2\cdot x^4$$  

• $$x^2$$  

• $$x^6$$  

• $$x^{-2}$$  

• $$x^8$$  

Multiple Choice

Simplify the expression: $$d^8\cdot d^{10}$$   

• $$d^2$$  

• $$d^{80}$$  

• $$d^{810}$$  

• $$d^{18}$$  

Multiple Choice

(x)(x⁴)(x³)

• x⁷

• x¹²

• x⁸

• x²

Division Rule

Subtract the Exponents for all like terms.

Symbols:
(a^x) / (a^y) = a^x-y
OR
(a⁸) ÷ (a³) = a⁵

Division Rule

Subtract the Exponents for all like terms.

Numbers:
2⁷ ÷ 2⁵ = 2² = 4
OR
7³ / 7¹ = 7² = 49

Multiple Select

$$\frac{2^4}{2^2}$$  

• $$2^2$$  

• $$4$$  

• $$2^6$$  

• $$2^8$$  

Multiple Choice

$$\frac{x^5}{x^2}$$  

• $$x^7$$  

• $$x^{10}$$  

• $$x^3$$  

• 5 x's on top, 2 x's on bottom

• How many x's do I have remaining?

• When Dividing, *subtract the exponents of the same base*

Multiple Choice

Quotient/Division Rule

When dividing exponents with the same base, ________the exponents

• subtract

• divide

• add

• multiply

Multiple Choice

Simplify the expression.

• 7⁶
• 7^-5
• 1/7⁵
• 7⁵

Multiple Choice

Evaluate this expression using the quotient rule.

• 9⁵
• 9⁹
• 1⁵
• 9^-5

Multiple Choice

Which value is equivalent to the expression $$\frac{2^6}{2^3}$$ ? 

• $$2^2$$  

• $$2^3$$  

• $$2^9$$  

• $$2^{18}$$