Learn how to use the power rule with exponents with rational powers

The video tutorial explains the power to power rule, which involves multiplying exponents when a base is raised to another power. It demonstrates this with an example, showing how to multiply fractions and reduce them. The tutorial also covers converting rational expressions into root form, providing a step-by-step guide to rewriting exponents as roots.

What does the power to power rule state?

• Subtract the exponents when dividing similar bases.

• Multiply the exponents when an exponent is raised to another power.

• Add the exponents when the bases are the same.

• Divide the exponents when multiplying different bases.

In the example given, what is the result of multiplying 1/2 and 2/3?

• 1/3

• 2/6

• 2/5

• 1/6

How is the fraction 2/6 simplified in the example?

• 1/4

• 1/3

• 1/2

• 1/5

What is the equivalent root form of the expression 2^(1/3)?

• Fifth root of 2

• Square root of 2

• Cube root of 2

• Fourth root of 2

What is the final answer when converting the rational expression to a root?

• Fifth root of 2 to the first power

• Fourth root of 2 to the first power

• Square root of 2 to the first power

• Cube root of 2 to the first power