Evaluating Exponential and Polynomial Expressions

The video tutorial demonstrates how to evaluate mathematical expressions by substituting variables with given values. It covers two examples: first, evaluating 5^x - 3^x for x=2, and second, evaluating y^2 - x^4 for y=9 and x=2. The tutorial emphasizes the importance of following the order of operations and provides step-by-step calculations to arrive at the final results.

What is the first step in evaluating the expression 5^x - 3^x for x = 2?

• Add 5 and 3

• Divide 5 by 3

• Replace x with 2

• Multiply 5 by 3

What is the value of 5^2?

• 30

• 25

• 15

• 10

What is the result of 3^2?

• 15

• 6

• 9

• 12

What is the final result of the expression 5^2 - 3^2?

• 20

• 18

• 16

• 14

In the expression y^2 - x^4, what value should y be replaced with?

• 12

• 5

• 2

• 9

What is the value of 9^2?

• 81

• 99

• 72

• 90

How do you calculate 2^4?

• 2 x 2 x 2

• 2 x 2 x 2 x 2

• 2 x 2

• 2 x 2 x 2 x 2 x 2

What is the result of 2^4?

• 8

• 12

• 14

• 16

What is the final result of the expression y^2 - x^4 when y = 9 and x = 2?

• 60

• 55

• 70

• 65

What operation is performed last in evaluating y^2 - x^4?

• Multiplication

• Division

• Subtraction

• Addition