Introduction to Laws of Exponents

Introduction to Laws of Exponents

Adding Like Terms vs Multiplying Like Bases

look carefully

Multiple Choice

Which is the most efficient way to calculate:

7+7+7+7+7+7+7+7+7+7

• 7¹⁰

• 7 x 10

• 7 + 10

• 7/10

Multiple Choice

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?

• 7⁵

• 7⁶

• 6⁷

• 7⁷

Multiple Choice

Which number is the EXPONENT?
$4^2=16$

• 4

• 2

• 16

Multiple Choice

Which number is the BASE? $2^3=8$

• 2

• 3

• 8

• 6

Multiple Choice

Which number is the coefficient?

$$3x^4=48$$  

• 3

• 4

• x

• 48

Multiple Choice

Simplify:

$$3x^4+2x^2$$  

• $$5x^6$$  

• $$6x^8$$  

• $$6x^6$$  

• It is already simplified (no change)

Multiple Choice

Simplify:

$$3x^4\times2x^2$$  

• $$6x^8$$  

• $$5x^6$$  

• $$6x^6$$  

• It is already simplified (no change)

Multiple Choice

Simplify:

$$5^4\times5^{-2}$$  

• 5^-8

• 5²

• 25^-8

• 25²

Multiple Choice

Simplify
(-7y²)(5y⁴)

• -35y⁶
• -2y⁶
• -35y⁸
• -2y⁸

Multiple Choice

Simplify (-4r⁵)(2r⁸)

• -8r¹³

• -2r¹³

• -8r⁴⁰

• -2y⁴⁰

Product to a Power

Multiple Choice

Simplify the following:
(x²y)⁵

• x⁷y⁵
• x²y⁵
• x¹⁰y⁵
• x⁵y⁵

Multiple Choice

Simplify the exponential expression.

• 2x⁶y¹²

• 2x⁵y⁷

• 8x⁶y¹²

• 8x⁵y⁷

Multiple Choice

(2ab)³

• 2³a³b³
• 2ab³
• 6a³b³
• 6ab