Product of Powers Properties

The video tutorial introduces three key properties of exponents: the product of powers, power of a power, and power of a product. Each property is explained with examples, demonstrating how to simplify expressions by adding or multiplying exponents. The tutorial encourages students to apply these rules to various expressions, reinforcing their understanding of exponent properties.

What is the product of powers property?

• Add the bases and multiply the exponents

• Multiply the bases and add the exponents

• Multiply the bases and subtract the exponents

• Keep the base and add the exponents

If you have 4^2 * 4^4, what is the simplified result?

• 4^6

• 4^12

• 4^16

• 4^8

How do you simplify (x^5)^4 using the power of a power property?

• x^9

• x^20

• x^10

• x^25

What is the result of (-2)^10?

• 2048

• -2048

• 1024

• -1024

How do you apply the power of a product property to (5x)^2?

• 5 * x^2

• 5^2 * x^2

• 5x^2

• 5^2 * x

What is the simplified form of (0.3T)^2?

• 0.09T^2

• 0.3^2T

• 0.3T^2

• 0.09T

Which property allows you to distribute an exponent to each factor in a product?

• Quotient of Powers

• Product of Powers

• Power of a Power

• Power of a Product