Exploring the Product Property of Exponents

This video tutorial covers the properties of exponents, focusing on products. It introduces the basic concepts of exponents, including how to write expressions in exponent form. The tutorial explains the product of powers property, power of a power property, and power of a product property, providing examples and exercises for each. The video emphasizes the rules for multiplying exponents with the same base and demonstrates how to simplify expressions using these properties.

What does the exponent in an expression indicate?

• The number of times the base is subtracted from itself

• The number of times the base is divided by itself

• The number of times the base is multiplied by itself

• The number of times the base is added to itself

How would you write the expression with two factors of 5 in exponent form?

• 5^1

• 5^2

• 5^3

• 5^4

What is the result of simplifying negative 4 to the second power?

• -16

• 16

• -8

• 8

What happens to the sign of the result when a negative base is raised to an even exponent?

• The result is always negative

• The result is zero

• The result is the same as the base

• The result is always positive

How do you simplify the expression X^3 * X^4?

• X^12

• X^1

• X^7

• X^4

What is the product of 7^2 and 7^6?

• 7^12

• 7^14

• 7^8

• 7^4

How do you find the power of a power in the expression (a^2)^3?

• a^8

• a^9

• a^6

• a^5

What is the result of (5^3)^4?

• 5^7

• 5^12

• 5^15

• 5^9

How do you distribute the exponent in the expression (2y)^3?

• 2^3 * y^3

• 2 * y^3

• 2^3 * y

• 2 * y

What is the simplified form of (3x^2)^4?

• 3^4 * x^2

• 3^4 * x^8

• 3^2 * x^4

• 3 * x^8