Simplifying an exponent using the power to power rule and rational powers

The video tutorial covers key exponent rules, including handling negative exponents by converting them to reciprocals, rewriting rational powers as roots, and multiplying exponents when raised to another power. An example problem is solved to demonstrate these rules in practice, emphasizing the importance of remembering these fundamental concepts.

What happens to a number when it is raised to a negative exponent?

• It becomes zero.

• It becomes its reciprocal with a positive exponent.

• It doubles in value.

• It remains unchanged.

How can a number with a rational power be expressed?

• As a decimal.

• As a negative number.

• As a fraction.

• As a root.

When an exponent is raised to another power, what operation is performed?

• Division

• Addition

• Subtraction

• Multiplication

In the example problem, what is the result of 27 raised to the negative first power?

• -27

• 0

• 1/27

• 27

What is the product of 1/3 and -3 in the example problem?

• 1

• 3

• -1

• 0