Understanding the Quotient Rule of Exponents

The video tutorial explains the quotient rule of exponents, which states that when dividing exponential terms with the same base, you subtract the exponents. The tutorial provides three examples to illustrate this rule: simplifying t^7 divided by t^3, (-2)^15 divided by (-2)^12, and (2√x)^7 divided by (2√x). Each example demonstrates the process of applying the quotient rule without further simplification, emphasizing the importance of understanding the rule's logic.

What is the quotient rule of exponents used for?

• Adding exponents with different bases

• Subtracting exponents with different bases

• Dividing exponential terms with the same base

• Multiplying exponents with the same base

In the first example, what is the result of t to the seventh divided by t to the third?

• t to the first

• t to the fourth

• t to the third

• t to the tenth

Why does the quotient rule make sense when expanded?

• Because it shows more factors in the numerator

• Because it multiplies the bases

• Because it adds the exponents

• Because it divides the bases

In the second example, what is the simplified form of negative two raised to the 15th power divided by negative two raised to the 12th power?

• Negative two raised to the 15th power

• Negative two raised to the 12th power

• Negative two raised to the 27th power

• Negative two raised to the third power

What is the result of two square root x raised to the seventh power divided by two square root x?

• Two square root x raised to the sixth power

• Two square root x raised to the eighth power

• Two square root x raised to the seventh power

• Two square root x raised to the first power