Understanding Negative Exponents

This video tutorial covers the concept of negative exponents, explaining their properties and how to apply them. It begins with an introduction to the properties of negative exponents, followed by detailed explanations of each property. The tutorial includes justifications for these properties and provides examples to demonstrate their application. The goal is to help learners understand how to work with negative exponents and simplify expressions using these properties.

What happens to the exponent when an exponential expression is moved across a fraction bar?

• The exponent remains unchanged.

• The sign of the exponent changes.

• The exponent becomes negative.

• The exponent is doubled.

Tags

CCSS.8.EE.A.1

Which of the following is a property of negative exponents?

• a^(-m) = a^(m-1)

• a^(-m) = a^m

• a^(-m) = 1/a^m

• a^(-m) = a^(m+1)

Tags

CCSS.8.EE.A.1

How do you simplify x^2 / x^5 using the division property of exponents?

• x^(-7)

• x^7

• x^(-3)

• x^3

Tags

CCSS.8.EE.A.1

What is the result of simplifying 2/3 raised to the power of -2?

• 3/2

• 2/3

• 9/4

• 4/9

Tags

CCSS.8.EE.A.1

How do you express x^(-3) with a positive exponent?

• 1/x^3

• x^3

• x^(-3)

• 3/x

Tags

CCSS.8.EE.A.1

What is the simplified form of 4/5 raised to the power of -2?

• 4/5

• 25/16

• 16/25

• 5/4

Tags

CCSS.8.EE.A.1

How do you simplify the expression 3x^(-4)?

• x^4/3

• 3x^4

• 3/x^4

• 1/3x^4

Tags

CCSS.8.EE.A.1

What is the result of multiplying P^(-4) * P^2 * P?

• P^(-7)

• P^1

• P^0

• P^(-1)

Tags

CCSS.HSA.APR.A.1

How do you simplify the expression 2c^2 / 3a^5b^3?

• 3a^5b^3 / 2c^2

• 2c^2 / 3a^5b^3

• 2a^5b^3 / 3c^2

• 3c^2 / 2a^5b^3

Tags

CCSS.8.EE.A.1

What is the simplified form of D^(-2) / D^7?

• D^(-5)

• D^9

• D^5

• D^(-9)

Tags

CCSS.8.EE.A.1