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 like 3 squared and 3 cubed to illustrate the concept. It concludes with a recap of the power rule and its application to different bases.

What is the key difference between multiplying exponents and the power rule of exponents?

• Multiplying exponents involves adding the exponents.

• The power rule involves subtracting the exponents.

• Multiplying exponents involves multiplying the exponents.

• The power rule involves dividing the exponents.

When using the power rule, what operation is performed on the exponents?

• Division

• Multiplication

• Subtraction

• Addition

What does 3 squared represent in terms of multiplication?

• 3 plus 3 plus 3

• 3 plus 3

• 3 times 3 times 3

• 3 times 3

If you have 3 squared cubed, how many times is the base 3 multiplied by itself?

• 9 times

• 12 times

• 6 times

• 3 times

How do you calculate 3 squared raised to the third power using the power rule?

• Subtract the exponents: 3 - 2

• Divide the exponents: 3 / 2

• Multiply the exponents: 2 * 3

• Add the exponents: 2 + 3