Exploring the Quotient Rule and Zero Exponent

The video tutorial explains the quotient rule for exponents, which involves dividing terms with the same base by subtracting their exponents. It provides examples to illustrate the rule and discusses the zero exponent rule, which states that any base raised to the power of zero equals one. The tutorial also includes complex examples and concludes with a summary and a preview of the next topic.

What is the result of x^5 / x^2?

• x^3

• x^2

• x^7

• x^5

Using the quotient rule, what is x^50 / x^20?

• x^10

• x^25

• x^70

• x^30

Simplify m^4 * n^8 / (m * n^2) using the quotient rule.

• m^4 * n^6

• m^3 * n^8

• m^2 * n^6

• m^3 * n^6

What is the result of x^4 / x^4?

• x^2

• x^0

• x^4

• 1

According to the zero exponent rule, what is 7^0?

• 7^1

• 0

• 7

• 1

Simplify 18x^6 * m^8 / (-3x^6 * m^2) using the quotient rule.

• -6m^8

• 6m^8

• 6m^6

• -6m^6

What is the result of 5x^0?

• x

• 0

• 5

• 1

Using the quotient rule, what is 7^8 / 7^2?

• 7^6

• 7^4

• 7^10

• 1

What is the simplified form of x^2 / x^5?

• x^-3

• x^3

• x^7

• x^2

What does b^0 equal according to the zero exponent rule?

• 1

• b^1

• b

• 0