Simplify an expression by applying a negative power to power to product rule

The video tutorial explains how to simplify expressions using the rules of exponents. It begins with an introduction to the concept of exponents and then demonstrates how to convert negative exponents into positive ones by rewriting them in the denominator. The tutorial further explains the power to product rule, which allows distributing a power across numbers separated by multiplication or division. Finally, the video walks through the complete simplification process, resulting in a simplified expression.

What is the initial expression that needs to be simplified in the video?

• 4G raised to the second power

• G raised to the fourth power

• 4G raised to the third power

• 4G raised to the negative third power

How can a negative exponent be converted into a positive one?

• By multiplying the base by 2

• By rewriting the expression in the denominator

• By rewriting the expression in the numerator

• By adding 1 to the exponent

What is the power to product rule used for?

• To add exponents of the same base

• To multiply exponents of different bases

• To distribute a power among numbers separated by a product or quotient

• To subtract exponents of the same base

What is the result of simplifying 4 cubed?

• 128

• 16

• 32

• 64

What is the final simplified expression for 4G raised to the negative third power?

• 1 over 4G cubed

• 64G cubed

• 4G cubed

• 1 over 64G cubed