Evaluating Exponents and Profit Functions

The video tutorial covers the concept of exponents, explaining the base and exponent components. It demonstrates how to write repeated multiplication as exponents and evaluates expressions with exponents, highlighting the importance of parentheses. The tutorial also explains the order of operations using PEMDAS and applies these concepts to solve a word problem involving profit calculation over different years.

What is the base in the expression 1/2^5?

• 1/2

• 2

• 1

• 5

How would you express the product of three negative sevens using exponents?

• -7^3

• (-7)^3

• 3^(-7)

• 7^3

What is the evaluated result of (-2)^4?

• -16

• 16

• 8

• -8

How does the placement of parentheses affect the expression -2^4?

• It changes the result to -16

• It makes no difference

• It changes the result to 16

• It changes the result to 8

What is the first step in evaluating the expression 3 + 2 * 3^4 according to PEMDAS?

• Addition

• Multiplication

• Subtraction

• Exponentiation

In the expression 3^3 - 8^2 / 2, what operation should be performed after evaluating the exponents?

• Addition

• Subtraction

• Division

• Multiplication

What is the result of the expression -3 * (-10)^2 + 70?

• 30

• -90

• 90

• -30

In the profit equation P = 0.1X^3 + 3, what does X represent?

• Interest rate

• Initial investment

• Years after opening

• Annual profit

How much profit is earned in year 5 according to the equation P = 0.1X^3 + 3?

• $9,400

• $15,500

• $12,500

• $6,100

What is the difference in profit between year 5 and year 4?

• $6,100

• $5,100

• $7,100

• $4,100