Grade 8 Exponents: Quotient Rule
Divide with same base
What You'll Learn
- Subtract exponents
- Apply quotient rule
📖Quotient
x^a ÷ x^b = x^(a-b)!
Worked examples
Real problems from the practice worksheets, solved one step at a time.
Example 1
3⁹ ÷ 3⁴ = 3ⁿ. What is n?
- Same base, dividing: subtract the exponents: 9 − 4 = 5.
- So 3⁹ ÷ 3⁴ = 3⁵, which means n = 5.
Answer: 5
Example 2
Use the quotient rule to find the value of 2¹⁰ ÷ 2⁴.
- Same base, dividing: subtract the exponents: 10 − 4 = 6.
- 2⁶ = 2 × 2 × 2 × 2 × 2 × 2 = 64.
Answer: 64
Example 3
10⁸ ÷ 10ⁿ = 10⁴. What is n?
- Same base, dividing: subtract the exponents: the exponent is 8 − n.
- The exponents on both sides must be equal: 8 − n = 4.
- So n = 8 − 4 = 4.
Answer: 4
Practice Worksheets
Quotient Rule 1
Use the quotient rule (subtract exponents) to find each missing exponent or value (set 1 of 5).
10 problemsStart
Quotient Rule 2
Use the quotient rule (subtract exponents) to find each missing exponent or value (set 2 of 5).
10 problemsStart
Quotient Rule 3
Use the quotient rule (subtract exponents) to find each missing exponent or value (set 3 of 5).
10 problemsStart
Quotient Rule 4
Use the quotient rule (subtract exponents) to find each missing exponent or value (set 4 of 5).
10 problemsStart
Quotient Rule 5
Use the quotient rule (subtract exponents) to find each missing exponent or value (set 5 of 5).
10 problemsStart