Simplifying an expression raised to a rational power

The video tutorial explains the rules of exponents, focusing on the power to quotient rule and the power rule. It demonstrates how to apply these rules to simplify expressions, including handling negative exponents and rewriting expressions. The tutorial concludes with a step-by-step simplification of an expression using these rules.

What does the power to quotient rule state?

• A power applied to a product is distributed to each factor.

• A power applied to a quotient is distributed to both the numerator and the denominator.

• A power applied to a difference is distributed to each term.

• A power applied to a sum is distributed to each term.

How do you apply the power rule when an exponent is raised to another power?

• Divide the exponents.

• Multiply the exponents.

• Subtract the exponents.

• Add the exponents together.

What is the result of simplifying X to the negative 4th over X squared?

• X to the 6th power

• X to the 2nd power

• 1 over X to the 2nd power

• 1 over X to the 6th power

When simplifying expressions, how should negative exponents be handled?

• Move them to the denominator.

• Leave them as they are.

• Ignore them.

• Move them to the numerator.

What is the final simplified expression of 1 over X to the 4th times X squared?

• 1 over X to the 6th power

• 1 over X to the 2nd power

• X to the 4th power

• X to the 6th power