Learning to apply the power to quotient rule with rational powers

The video tutorial covers the rules for rational exponents, focusing on the power to quotient rule and the power rule. It explains how to apply these rules to simplify expressions, including using the division property of exponents. The tutorial emphasizes the importance of understanding these rules to handle rational exponents effectively.

What is the main focus when dealing with rational exponents in a quotient raised to a power?

• Applying the power to both the numerator and the denominator

• Applying the power to the numerator only

• Applying the power to the denominator only

• Ignoring the power

When using the power rule, what operation is performed on the exponents?

• Addition

• Subtraction

• Division

• Multiplication

If you have X to the one-third raised to the ninth power, what is the result using the power rule?

• X to the ninth

• X to the twelfth

• X to the third

• X to the sixth

What do you do with the exponents when dividing two expressions with the same base?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

In the expression X to the third over X to the sixth, what is the simplified result?

• X to the third

• X to the negative third

• X to the zero

• X to the sixth