What is the negative exponent property of exponents

The video tutorial explains the concept of negative exponents, demonstrating how a base raised to a negative exponent is equivalent to one over the base raised to the positive exponent. It provides an example using a quotient problem, showing how to simplify expressions with negative exponents by applying the quotient rule. The tutorial emphasizes the importance of converting negative exponents in the numerator to positive exponents in the denominator and vice versa.

What does a negative exponent indicate when applied to a base?

• The base is subtracted from itself a positive number of times.

• The base is raised to a positive exponent and then inverted.

• The base is divided by itself a positive number of times.

• The base is multiplied by itself a negative number of times.

In the example of 3 divided by 3 cubed, what is the simplified result?

• 3

• 1/3

• 1/9

• 9

How do you apply the quotient rule to simplify 3 divided by 3 cubed?

• Multiply the exponents of the numerator and denominator.

• Add the exponents of the numerator and denominator.

• Divide the exponent of the numerator by the exponent of the denominator.

• Subtract the exponent of the denominator from the exponent of the numerator.

What is the result of applying the negative exponent rule to 3 to the power of negative 2?

• 1 over 3 squared

• 1 over 3 to the power of 2

• 3 squared

• 3 to the power of 2

What should you do if a negative exponent is in the numerator?

• Leave it as is.

• Convert it to a positive exponent in the denominator.

• Add it to the exponent in the denominator.

• Multiply it by the base.