suplementary lesson (thursday, 31 July 2025)

exponent and surds

suplementary lesson

Exponent Rules

Learning and Practicing Exponent Rules

The Product Rule

Multiple Choice

Simplify: $$\left(-x^3\right)\left(-5x\right)$$  

• $$5x^4$$  

• $$-5x^4$$  

• $$5x^3$$  

• $$-5x^3$$  

Multiple Choice

Simplify: $$\frac{k^3}{5k}$$  

• $$5k^2$$  

• $$\frac{5}{k^2}$$  

• $$\frac{k^2}{5}$$  

• $$\frac{k^4}{5}$$  

The Power Rule

The Negative Exponent Rule

The Zero Exponent Rule

Multiple Choice

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

Multiple Choice

Simplify
(y³)⁵

• y¹⁵
• y⁸
• y⁻²
• y

Multiple Choice

Simplify:  (m⁹)²

• m¹¹
• 2m⁹
• m¹⁸
• m^4.5

Multiple Choice

Simplify using only positive exponents:

$$x^{-7}$$  

• -7

• -7x

• $$\frac{1}{x^7}$$

• $$-\frac{1}{x^7}$$  

Multiple Choice

Simplify:  (2x/3)⁴

• (8x)/12
• (16x⁴)/81
• (8x)/81
• (2x⁴)/81

Multiple Choice

Simplify: 7p⁰

• 7

• 1

• simplified

• 7p

The Surd to Exponent Rule

Multiple Choice

Convert $$\sqrt[]{7}$$  to a rational exponent

• 7²
• 7^1/2
• 7^-2
• 7^-1/2

Multiple Choice

Convert $$\left(\sqrt[3]{2}\right)^5$$  to a rational exponent

• 2^3/5
• -2^3/5
• 2^5/3
• 8⁵