Negative Exponents and Their Applications

The video tutorial demonstrates how to evaluate expressions with negative exponents and verify the results using a graphing calculator. It covers four examples: evaluating x^ of -2 for x=4, 2v^ of -3 for V=-3, 3C^ of -2, and 3*2Z^ of -2 for Z=-2. Each example involves rewriting the expression with positive exponents, simplifying, and checking the result using a calculator.

What is the result of evaluating 4^-2?

• 1/4

• 4

• 16

• 1/16

How do you convert a negative exponent to a positive one?

• Add one to the exponent

• Multiply by zero

• Subtract one from the exponent

• Move the base to the denominator

What is the value of 2 * (-3)^-3?

• -2/27

• 2/27

• 27/2

• -27/2

When rewriting 2 * (-3)^-3 with positive exponents, what stays in the numerator?

• 0

• 2

• -3

• 1

What is the result of evaluating (3 * 3)^-2?

• 1/81

• 81

• 1/9

• 9

How do you express (3 * 3)^-2 with a positive exponent?

• 9^2

• 3^2

• 1/3^2

• 1/9^2

What is the value of 3 * 2 * (-2)^-2?

• 4/3

• 3/4

• 16/3

• 3/16

In the expression 3 * 2 * (-2)^-2, what is the result of 2 * -2 inside the parentheses?

• -4

• 4

• 2

• -2

What is the simplified form of 3 * (-4)^-2?

• 3/4

• 16/3

• 3/16

• 4/3

How do you verify the result of an expression with a graphing calculator?

• Press clear, enter, enter

• Press graph, enter, enter

• Press math, enter, enter

• Press mode, enter, enter