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 power rule in mathematics?

How do you apply the power rule when a variable is raised to another power?

What is the result of 256 raised to the power of 4 * 1/4?

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

What do you conclude when two numbers are reciprocals of each other?