Order of Operations and Exponents

The video tutorial demonstrates how to evaluate mathematical expressions by substituting a given value for the variable x. The first example involves evaluating the expression 5x squared when x equals 3, resulting in 45. The second example evaluates the expression 1/3 times 6 to the power of x when x equals 2, resulting in 12. The tutorial emphasizes the importance of following the order of operations, particularly handling exponents before multiplication.

What is the first step in evaluating the expression 5x squared when x equals 3?

• Multiply 5 by 3

• Subtract 3 from 5

• Square the 3

• Add 5 to 3

What is the result of 5 times 3 squared?

• 60

• 45

• 30

• 15

What operation is performed last in the expression 5x squared when x equals 3?

• Addition

• Subtraction

• Multiplication

• Division

In the expression 1/3 times 6 to the x power, what should you do first when x equals 2?

• Add 6 to 2

• Multiply 1/3 by 6

• Divide 6 by 2

• Square the 6

What is the value of 6 squared?

• 12

• 18

• 24

• 36

What is one third of 36?

• 9

• 12

• 15

• 18

What is the final result of the expression 1/3 times 6 squared when x equals 2?

• 10

• 11

• 13

• 12

Why is it important to follow the order of operations in these expressions?

• To ensure the correct result

• To make the calculation faster

• To avoid using a calculator

• To simplify the expression