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.

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)

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

• x^(-7)

• x^7

• x^(-3)

• x^3

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

• 3/2

• 2/3

• 9/4

• 4/9

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

• 1/x^3

• x^3

• x^(-3)

• 3/x

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

• 4/5

• 25/16

• 16/25

• 5/4

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

• x^4/3

• 3x^4

• 3/x^4

• 1/3x^4

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

• P^(-7)

• P^1

• P^0

• P^(-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

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

• D^(-5)

• D^9

• D^5

• D^(-9)