2.2 Part 1: Product & Quotient Rules of Exponents

2.2 Part 1: Product & Quotient Rules of Exponents

EQ: How can you simplify expressions using the product and quotient rules of exponents?

Multiple Choice

Product Rule of Exponents: When multiplying exponents, if the bases are the same, then you....

• Multiply the exponents

• Subtract the exponents

• Add the exponents

• Divide the exponents

Multiple Choice

2^-1 * 2² *2²

• 2⁴
• 8⁴
• 36
• 2³

Multiple Choice

r²⋅ r

• r³

• r²

• 2r³

• 11r²

Multiple Choice

x^{20 .} x^-10

• x³⁰

• x²⁰⁰

• 2x³⁰

• x¹⁰

Multiple Choice

x⁴ (x^-12)

• $$\frac{1}{x^{48}}$$  

• x⁴⁸
• x¹⁶
• x⁸

Multiple Choice

5r²⋅ 6r

• 30r³
• 30r²
• 11r³
• 11r²

Multiple Choice

6k²⋅ k

• 6
• 6k
• 6k²
• 6k³

Multiple Choice

$$6m^3n^3\cdot8m^2n^{-3}$$  

• 48m⁵n⁹

• 48m⁶n⁶

• 48m⁵n⁶

• none of the above

Multiple Choice

9x⁵y²⋅ 9xy²

• 81x⁶y⁴
• 81x⁵y⁶
• 9x⁶y⁴
• none of the above

Multiple Choice

8x⁵y³⋅ 10xy³

• 80xy³
• 80x⁵y⁹
• 80x⁶y⁶
• none of the above

Multiple Choice

Quotient Rule of Exponents: When dividing exponents, if the bases are the same, then you....

• Multiply the exponents

• Subtract the exponents

• Add the exponents

• Divide the exponents

Multiple Choice

$$\frac{x^5}{x^3}$$  

• x²

• 2

• x⁸

• 2x

Multiple Select

$$\frac{m^3}{m^3}$$  

• m

• m⁶

• 1

• None of the Above

Multiple Choice

$$\frac{a^6b^4}{a^2b^3}$$  

• ab

• a⁸b⁷

• a³b¹

• a⁴b

Multiple Choice

$$\frac{14x^2y^2}{2xy}$$  

• 7xy

• 7x²y²

• 2x³y³

• 2

Multiple Choice

$$\frac{-36a^2b^5}{4a^2b^3}$$  

• -9b²

• 9b²

• -9a

• 9ab

Multiple Choice

$$\frac{8a^6b^{12}}{4a^3b^7}$$

• 2a³b⁵

• a³b⁵

• 2a⁹b¹⁹

• 2ab⁵

Multiple Choice

$$\frac{2c^5d^{10}}{3c^9d^8}$$  

• $$\frac{2}{3}c^{-4}d^2$$  

• $$\frac{6d^2}{c^4}$$  

• $$\frac{2d^2}{3c^4}$$  

• $$6c^{14}d^{18}$$  

Multiple Choice

$$\frac{12x^2}{-3x^7}$$  

• $$-4x^9$$  

• $$-4x^5$$  

• $$\frac{-4}{x^5}$$  

• $$4x^5$$  

Multiple Choice

$$\frac{9a^3b^5}{-3ab^2}$$  

• $$-3a^3b^3$$  

• $$-3a^4b^7$$  

• $$12a^2b^3$$  

• $$-3a^2b^3$$  

Multiple Choice

$$\frac{56cd}{8c^2d^4}$$  

• $$7cd^3$$  

• $$\frac{7}{cd^3}$$  

• $$48cd^3$$  

• $$\frac{48}{cd^3}$$