Understanding Powers and Exponents

The video tutorial explains the rule for finding a power to a power, which involves keeping the base and multiplying the exponents. It provides examples with different bases and exponents, demonstrating how to apply the rule and evaluate the results. The tutorial also shows the expanded form of a power to a power to clarify the concept.

What is the basic rule for finding a power to a power?

• Keep the base and multiply the exponents

• Add the exponents and change the base

• Subtract the exponents and keep the base

• Divide the exponents and change the base

If you have k to the seventh power raised to the fifth power, what is the result?

• k to the forty-second power

• k to the thirty-fifth power

• k to the twenty-fifth power

• k to the twelfth power

What is the result of w to the fourth power raised to the sixth power?

• w to the thirtieth power

• w to the sixteenth power

• w to the tenth power

• w to the twenty-fourth power

How do you evaluate 2 to the fifth power raised to the second power?

• 2 to the tenth power

• 2 to the twentieth power

• 2 to the seventh power

• 2 to the fifteenth power

What is the expanded form of 2 to the fifth power raised to the second power?

• Five sets of 2 to the second power

• Ten sets of 2 to the first power

• One set of 2 to the tenth power

• Two sets of 2 to the fifth power

Why do we multiply exponents when finding a power to a power?

• To decrease the exponent

• To correctly evaluate the power

• To increase the base

• To simplify the base