Dividing and Negative Exponents Explained

The video tutorial explains how to divide exponents by expressing them in factored form and simplifying fractions. It covers examples with different variables and demonstrates how to handle negative exponents by flipping them into the opposite part of a fraction. The tutorial also provides a complex example involving multiple variables and emphasizes the importance of simplifying expressions by removing negative exponents.

What is the result of x^5 / x^3?

• x^8

• x^2

• x^15

• 1

If you have a^4 * b^2 / (a * b^2), what is the simplified form?

• a^3

• a^3 * b

• a^5

• b^2

What is the simplified form of a^4 * b^2 / (a * b^2) * H^2 / H^4?

• H^2 / a^3

• a^3 * H^-2

• a^3 * H^2

• a^3 / H^2

What does a negative exponent indicate in terms of fraction placement?

• The base moves to the opposite part of the fraction.

• The exponent becomes positive.

• The base is eliminated.

• The fraction is inverted.

How do you simplify an expression with a negative exponent in the numerator?

• Subtract the exponent from the base.

• Multiply the base by itself.

• Move the base to the denominator and make the exponent positive.

• Leave the expression as is.

What is the simplified form of x^-4?

• x^4

• 1 / x^4

• 1 / x^-4

• -x^4

If you have B^-4 / C^-6, what is the simplified form?

• C^6 / B^4

• C^3 / B^2

• B^2 / C^3

• B^4 / C^6

What is the result of simplifying 1 / x^-B?

• x^B

• 1 / x^B

• x^-B

• -x^B

What does x^0 equal?

• 1

• Undefined

• x

• 0

If x^1 and G^1 represent single instances of x and G, what does x^0 represent?

• 1

• 0

• x

• G