Understanding Exponents and Substitution

The video tutorial explains how to evaluate the expression 4X raised to the power of -3 when x equals 3. It begins with substituting 3 for x, simplifying the expression inside the parentheses, and then applying exponent rules to convert the negative exponent into a positive one. The tutorial concludes with calculating the final result using a calculator, resulting in 1/1,728.

What is the first step in evaluating the expression 4X raised to the power of -3 when X equals 3?

• Convert the exponent

• Substitute the value of X

• Simplify the expression

• Calculate the power

After substituting X with 3, what is the expression inside the parentheses?

• 4 * 4

• 3 * 4

• 3 * 3

• 4 * 3

What is the result of simplifying 4 * 3?

• 11

• 10

• 12

• 9

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

• Use the reciprocal of the base

• Subtract 1 from the exponent

• Multiply by 2

• Add 1 to the exponent

What is the expression after converting 12 raised to the power of -3 to a positive exponent?

• 12^-3

• 1/12^3

• 12^3

• 1/12^-3

Which of the following is a correct interpretation of the exponent rule used in the video?

• a^-m = 1/a^m

• a^m = 1/a^-m

• a^m = a^-m

• a^-m = a^m

What is the value of 12 raised to the power of 3?

• 1,728

• 1,152

• 1,536

• 1,344

What is the final value of the expression 4X raised to the power of -3 when X equals 3?

• 1/1,728

• 1/1,536

• 1/1,344

• 1/1,152