Quotient Rule of Exponents

The video tutorial explains the quotient rule of exponents, which allows for the subtraction of exponents when dividing numbers with the same base. It provides examples using numbers and variables, discusses handling negative exponents, and offers practice problems. The tutorial emphasizes the importance of having the same base to apply the rule and includes tips for solving related problems.

What is the quotient rule of exponents used for?

• Dividing exponents of different bases

• Multiplying exponents of different bases

• Subtracting exponents of like bases

• Adding exponents of like bases

If you have 3^5 divided by 3^3, what is the result?

• 3^0

• 3^8

• 3^2

• 3^15

How do you simplify x^12 divided by x^7?

• x^5

• x^19

• x^84

• x^0

What is the result of 2^8 divided by 2^5?

• 2^0

• 2^40

• 2^13

• 2^3

When dealing with multiple bases, what must be true to subtract exponents?

• The bases must be different

• The exponents must be equal

• The bases must be the same

• The exponents must be negative

How can you rewrite a negative exponent, such as x^-m?

• x^0

• x^-m

• x^m

• 1/x^m

What is the simplified form of 12/18?

• 1/2

• 3/2

• 2/3

• 1/3

If a term has a negative exponent, where should it be placed?

• It should be squared

• In the numerator

• In the denominator

• It should be removed

What is the result of 3^16 divided by 3^18?

• 3^34

• 3^2

• 1/9

• 9

How do you handle a problem where bases are not the same?

• Add the exponents

• Multiply the bases

• Simplify as is

• Subtract the bases