Why Does the Power Rule of Exponents Work

The video tutorial explains the rules of exponents, focusing on the power rule, which involves raising a monomial to another exponent. It begins with a review of multiplying and dividing monomials with exponents, then introduces the power rule, which states that when an exponent is raised to another exponent, the exponents are multiplied. The tutorial provides examples using numbers to illustrate the concept and generalizes the rule to different bases and exponents.

What is the power rule of exponents?

• Adding the exponents

• Multiplying the exponents

• Subtracting the exponents

• Dividing the exponents

If 3 squared is raised to the third power, what is the result?

• 3 to the power of 12

• 3 to the power of 9

• 3 to the power of 6

• 3 to the power of 5

How many times is the base multiplied in 3 squared cubed?

• 6 times

• 3 times

• 12 times

• 9 times

What does 3 squared represent?

• 3 plus 3 plus 3

• 3 plus 3

• 3 times 3 times 3

• 3 times 3

How do you calculate the result of raising a monomial to another exponent?

• By multiplying the exponents

• By adding the exponents

• By subtracting the exponents

• By dividing the exponents