Exploring Multiplication Properties of Exponents

This video tutorial covers the properties of exponents, including the product of powers, power of powers, and powers of products rules. It explains each rule with examples and provides practice problems to reinforce understanding. The tutorial emphasizes the importance of keeping the base the same and correctly applying the rules to simplify expressions involving exponents.

What does the exponent in a power expression indicate?

• The number of times the base is divided by itself

• The number of times the base is added to itself

• The number of times the base is multiplied by itself

• The number of times the base is subtracted from itself

If you have 3^4 * 3^3, what is the resulting exponent when written as a single power?

• 12

• 9

• 7

• 1

What is the result of (2^3)^2 using the power of powers rule?

• 2^8

• 2^9

• 2^6

• 2^5

How many copies of y are there in (y^3)^3?

• 12

• 9

• 6

• 3

What is the simplified form of (2 * 3)^3 using the power of a product rule?

• 2^3 * 3^3

• 2^3 * 3^2

• 2^2 * 3^2

• 2^2 * 3^3

Which of the following is NOT allowed when distributing an exponent?

• (x + 2)^3 = x^3 + 2^3

• (a * b)^2 = a^2 * b^2

• (2 * 3)^3 = 2^3 * 3^3

• (x^2)^3 = x^6

What is the result of 4x * (x^3)^2?

• 4x^5

• 4x^9

• 4x^6

• 4x^7

How do you simplify (3x^2)^3?

• 3^3 * x^2

• 3^3 * x^6

• 3^2 * x^3

• 3 * x^6

What is the simplified form of 3^3 * b^3 * b?

• 3^3 * b^2

• 3 * b^4

• 3^3 * b^4

• 3^2 * b^3

Why can't you distribute an exponent over a sum?

• Because it only works for division

• Because it only works for multiplication

• Because it only works for addition

• Because it only works for subtraction