Product of Powers Property

This lesson teaches how to multiply powers with the same base. It begins with an introduction to the concept, followed by examples demonstrating the simplification of expressions by expanding powers. The lesson introduces the product of powers property, which states that when multiplying powers with the same base, you can add the exponents. The lesson concludes with applying this property to simplify expressions, emphasizing the importance of recognizing implicit exponents.

What does the exponent in a power expression represent?

• The number of times the base is added to itself

• The number of times the base is multiplied by itself

• The number of bases in the expression

• The number of different bases in the expression

In the expression a^3 * a^5, what is the simplified form?

• a^5

• a^2

• a^15

• a^8

What is the product of powers property?

• Multiply the bases and add the exponents

• Keep the base and multiply the exponents

• Add the bases and multiply the exponents

• Keep the base and add the exponents

If x^3 * x * x^7 is simplified, what is the result?

• x^10

• x^12

• x^9

• x^11

What is the exponent of a variable if it is not explicitly shown?

• It depends on the context

• 2

• 1

• 0