Applying the power rule to simplify an expression with a rational power

The video tutorial explains the power rule, which involves multiplying exponents when a variable is raised to another power. An example is given using 256 raised to the power of 4 multiplied by 1/4. The tutorial highlights the importance of writing 4 as a fraction to understand that 4 and 1/4 are reciprocals, simplifying the expression to 256 to the first power, which equals 256.

What is the basic concept of the power rule?

• Dividing the powers of a variable

• Subtracting the powers of two variables

• Multiplying the powers of a variable

• Adding the powers of two variables

In the example given, what is the initial expression involving 256?

• 256 raised to the power of 4

• 256 raised to the power of 8

• 256 raised to the power of 1/4

• 256 raised to the power of 2

Why is it helpful to write 4 as a whole number over one?

• To convert it into a fraction

• To identify reciprocals

• To simplify multiplication

• To make it easier to add

What are reciprocals in the context of this example?

• Two numbers that divide to 1

• Two numbers that subtract to 1

• Two numbers that multiply to 1

• Two numbers that add up to 1

What is the final simplified result of the expression?

• 256 to the power of 4

• 256 to the power of 1

• 256 to the power of 0

• 256 to the power of 2