Properties of Exponents

Properties of Exponents

Unit 8: Exponents & Exponential Functions

Multiple Choice

Simplify the following expression:

3x⁴ ⋅ 6x⁶

• 18x¹⁰

• 9x¹⁰

• 18x²⁴

• 9x²⁴

Multiple Choice

Which number is the BASE?

2³ = 8

• 2

• 3

• 8

Multiple Choice

Simplify the expression: 3x²⋅x²=

• 3x

• 3x²⁺²

• 3x⁴

Multiple Choice

Simplify the expression: 
c⁴⋅c³=

• ^c12
• c⁴⁺³
• c⁷

Multiple Choice

In order to multiply powers with the same base, we add their exponents. 

• True 
• False

Multiple Choice

When dividing and the bases are the same __________ the exponents.

• Multiply

• Divide

• Add

• Subtract

Multiple Choice

• b⁶

• b⁷

• b¹

• b⁻⁶

Multiple Choice

• x¹¹

• x¹⁸

• x⁻⁷

• x⁷

Multiple Choice

• 3x⁻¹y⁻⁵

• 3x²y

• 3xy⁵

• −3x³y⁷

Multiple Choice

 Simplify
(3x³y⁵)⁴

• 3x¹²y²⁰
• 81x¹²y²⁰
• 12x¹²y²⁰
• 81x⁷y⁹

Multiple Choice

• k⁷

• k³

• 1/k¹⁰

• k¹⁰

Multiple Choice

• $$25x^{22}$$

• $$10x^{22}$$

• $$25x^{13}$$

• $$-25x^{22}$$

Multiple Choice

(x⁵y³)⁴

• x⁹y⁷

• x⁹y¹²

• x²⁰y¹²

• x²⁰y⁷

Multiple Choice

(4x³)²

• 8x⁵

• 8x⁶

• 16x⁵

• 16x⁶

Multiple Choice

(12x³y)²

• 144x⁶y²
• 24x⁶y²
• 144x⁵y³
• 24x⁵y³

Multiple Choice

Simplify the following: $$\left(\frac{3x^3}{5y}\right)^2$$  

• $$\frac{9x^6}{25y^2}$$  

• $$\frac{9x^3}{25y}$$  

• $$\frac{9x^6}{5y}$$  

Multiple Choice

Simplify the following:
$$\left(\frac{x^2y}{z^3}\right)^5$$

• $$\frac{x^{10}y^5}{z^{15}}$$

• $$\frac{x^{10}y}{z^{15}}$$

• $$\frac{x^{10}y}{z^3}$$

Multiple Choice

Simplify the following:
$$\left(\frac{x^2}{y^3}\right)^4$$  

• $$\frac{x^8}{y^{12}}$$  

• $$\frac{x^6}{y^7}$$  

• $$x^8y^{12}$$  

Multiple Choice

(5³x²y⁴)⁰

• 5xy
• 1
• 0
• 5

Multiple Choice

Simplify using your exponent rule(s) (5³x²y⁴)⁰

• 5xy

• 1

• 0

• 5

Multiple Choice

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Multiple Choice

Simplify (-9)⁰

• -9
• -1
• 1
• 9

Multiple Choice

Simplify

• $$\frac{7a^5}{b^3}$$

• $$\frac{b^3}{7a^5}$$

• $$\frac{7b^3}{a^{-5}}$$

• $$\frac{7b^3}{a^5}$$

Multiple Choice

Rewrite using a positive exponent.

2w^-13

• -w¹³

• $$\frac{2}{w^{13}}$$

  
  

• $$\frac{2}{w^{-13}}$$

• $$2w^{13}$$

Multiple Choice

Rewrite using a positive exponent.

g^-7

• $$\frac{1}{g^7}$$

• $$g^7$$
  

• $$\frac{1}{g^{-7}}$$

Multiple Choice

Simplify

x⁻⁶

• $$\frac{1}{x^6}$$

• x⁶

• -x⁶

• $$\frac{-1}{x^6}$$