Learn how to simplify an expression using power to product rule with rational powers

The video tutorial explains the power rule, which involves distributing exponents over a product. The instructor demonstrates how to apply the rule to expressions, simplify exponents, and rewrite expressions without negative exponents, resulting in a final simplified form.

What does the power rule state when applied to a product raised to a power?

• You divide the exponents.

• You multiply the exponents.

• You subtract the exponents.

• You add the exponents.

If you have X to the 1/2 raised to the power of -6, what is the result?

• X to the 3rd

• X to the 6th

• X to the -6th

• X to the -3rd

What is the result of multiplying -2/3 by -6?

• 12

• -4

• 4

• -12

How do you rewrite an expression with a negative exponent to make it positive?

• Add the exponent to the numerator.

• Subtract the exponent from the denominator.

• Move the term to the denominator.

• Move the term to the numerator.

What is the final expression for Y to the 4th over X cubed?

• X to the 3rd over Y to the 4th

• Y to the 3rd over X to the 4th

• Y to the 4th times X cubed

• Y to the 4th over X to the 3rd