Evaluating Expressions with Exponents

The video tutorial demonstrates how to evaluate variable expressions by substituting given values for variables. It covers two examples: the first involves substituting values into the expression 6m^3 + n^2, and the second involves 4s^2 - 3r^3. The tutorial emphasizes following the order of operations, simplifying exponents, and performing arithmetic operations to arrive at the final result.

What is the first step in evaluating the expression 6m^3 + n^2 when m = 3 and n = 5?

• Add the values of m and n

• Subtract n from m

• Multiply 6 by m

• Simplify the exponents

After substituting m = 3 into the expression 6m^3, what is the result of 3^3?

• 9

• 27

• 81

• 18

What is the final result of the expression 6m^3 + n^2 when m = 3 and n = 5?

• 162

• 87

• 25

• 187

In the expression 4s^2 - 3r^3, what is the value of s^2 when s = 4?

• 4

• 12

• 8

• 16

What is the value of 3r^3 when r = 2 in the expression 4s^2 - 3r^3?

• 12

• 24

• 6

• 8

What is the final result of the expression 4s^2 - 3r^3 when s = 4 and r = 2?

• 48

• 24

• 64

• 40