Exploring the Laws of Exponents

This video tutorial covers the laws of exponents, including multiplication, division, power of a product, and power to a power. Each law is explained with examples to demonstrate how to simplify expressions using these rules. The tutorial concludes with a comprehensive example that applies all the laws discussed.

What is the result of multiplying a^m by a^n?

• a^(m+n)

• a^(m-n)

• a^(mn)

• a^(m/n)

Tags

CCSS.8.EE.A.1

In the expression 2^3 * 2^20, what is the simplified result?

• 4^23

• 2^23

• 2^60

• 2^17

Tags

CCSS.8.EE.A.1

What is the base condition for applying the multiplication law of exponents?

• Bases must be the same

• Bases must be different

• No specific condition

• Exponents must be the same

Tags

CCSS.8.EE.A.1

When dividing a^m by a^n, what operation is performed on the exponents?

• Multiplication

• Division

• Addition

• Subtraction

Tags

CCSS.8.EE.A.1

How do you simplify a^7 / a^4?

• a^28

• a^3

• a^11

• a^1.75

Tags

CCSS.8.EE.A.1

What does the division law of exponents effectively do to the exponents?

• Divides them

• Squares them

• Adds them

• Subtracts them

Tags

CCSS.8.EE.A.1

If you have (xy)^3, what is the correct expansion?

• x^3y^3

• x^6y^6

• x^3 + y^3

• 3xy

What does (a^m)^n equal to?

• a^(m/n)

• a^(mn)

• a^(m-n)

• a^(m+n)

Tags

CCSS.8.EE.A.1

What is the result of raising 3^3 * x^4^3 * y^5^3 / x^2^3 by y^2?

• 27x^6y^17

• 81x^12y^15

• 27x^6y^15

• 27x^12y^17

Tags

CCSS.8.EE.A.1

In the comprehensive example, what is the final exponent of y?

• 3

• 2

• 17

• 15

Tags

CCSS.6.EE.A.1