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Quotient Rule: Powers Left in the Denominator — Easy Worksheet 1
Grade 8 · Whoobee Name: ____________________ Date: __________
Simplify. Use positive exponents only. Type a fraction with brackets around the bottom, like 2/(3x^3 y^2).
How to solve
Divide the numbers and simplify them like a fraction. Then compare the exponents of each letter: if the top has more, subtract and keep the letter on top; if the bottom has more, subtract the other way and put the letter on the bottom. For example, x3x7 = 1x4, because four x's are left on the bottom, and 4x2 y6x5 y3 = 23x3 y2.
Example
n2n8 = ___
Answer: 1n6
Not quite. The answer is
💡 There are no numbers to divide. a: 3 on top and 4 on the bottom. The bottom has more: 4 − 3 = 1, so a goes on the bottom. So a3a4 = 1a.
✓ Correct!
Not quite. The answer is
💡 There are no numbers to divide. a: 3 on top and 4 on the bottom. The bottom has more: 4 − 3 = 1, so a goes on the bottom. So a3a4 = 1a.
💡 How to solve: Quotient Rule: Powers Left in the Denominator
Divide the numbers and simplify them like a fraction. Then compare the exponents of each letter: if the top has more, subtract and keep the letter on top; if the bottom has more, subtract the other way and put the letter on the bottom. For example, x3x7 = 1x4, because four x's are left on the bottom, and 4x2 y6x5 y3 = 23x3 y2.
Try a similar one
nn2 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 There are no numbers to divide. b: 5 on top and 8 on the bottom. The bottom has more: 8 − 5 = 3, so b3 goes on the bottom. So b5b8 = 1b3.
✓ Correct!
Not quite. The answer is
💡 There are no numbers to divide. b: 5 on top and 8 on the bottom. The bottom has more: 8 − 5 = 3, so b3 goes on the bottom. So b5b8 = 1b3.
💡 How to solve: Quotient Rule: Powers Left in the Denominator
Divide the numbers and simplify them like a fraction. Then compare the exponents of each letter: if the top has more, subtract and keep the letter on top; if the bottom has more, subtract the other way and put the letter on the bottom. For example, x3x7 = 1x4, because four x's are left on the bottom, and 4x2 y6x5 y3 = 23x3 y2.
Try a similar one
xx3 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 There are no numbers to divide. x: 5 on top and 8 on the bottom. The bottom has more: 8 − 5 = 3, so x3 goes on the bottom. So x5x8 = 1x3.
✓ Correct!
Not quite. The answer is
💡 There are no numbers to divide. x: 5 on top and 8 on the bottom. The bottom has more: 8 − 5 = 3, so x3 goes on the bottom. So x5x8 = 1x3.
💡 How to solve: Quotient Rule: Powers Left in the Denominator
Divide the numbers and simplify them like a fraction. Then compare the exponents of each letter: if the top has more, subtract and keep the letter on top; if the bottom has more, subtract the other way and put the letter on the bottom. For example, x3x7 = 1x4, because four x's are left on the bottom, and 4x2 y6x5 y3 = 23x3 y2.
Try a similar one
x3x8 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A letter with no exponent written has exponent 1. There are no numbers to divide. a: 1 on top and 7 on the bottom. The bottom has more: 7 − 1 = 6, so a6 goes on the bottom. So aa7 = 1a6.
✓ Correct!
Not quite. The answer is
💡 A letter with no exponent written has exponent 1. There are no numbers to divide. a: 1 on top and 7 on the bottom. The bottom has more: 7 − 1 = 6, so a6 goes on the bottom. So aa7 = 1a6.
💡 How to solve: Quotient Rule: Powers Left in the Denominator
Divide the numbers and simplify them like a fraction. Then compare the exponents of each letter: if the top has more, subtract and keep the letter on top; if the bottom has more, subtract the other way and put the letter on the bottom. For example, x3x7 = 1x4, because four x's are left on the bottom, and 4x2 y6x5 y3 = 23x3 y2.
Try a similar one
a2a9 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 There are no numbers to divide. a: 4 on top and 5 on the bottom. The bottom has more: 5 − 4 = 1, so a goes on the bottom. So a4a5 = 1a.
✓ Correct!
Not quite. The answer is
💡 There are no numbers to divide. a: 4 on top and 5 on the bottom. The bottom has more: 5 − 4 = 1, so a goes on the bottom. So a4a5 = 1a.
💡 How to solve: Quotient Rule: Powers Left in the Denominator
Divide the numbers and simplify them like a fraction. Then compare the exponents of each letter: if the top has more, subtract and keep the letter on top; if the bottom has more, subtract the other way and put the letter on the bottom. For example, x3x7 = 1x4, because four x's are left on the bottom, and 4x2 y6x5 y3 = 23x3 y2.
Try a similar one
n2n6 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 There are no numbers to divide. y: 3 on top and 8 on the bottom. The bottom has more: 8 − 3 = 5, so y5 goes on the bottom. So y3y8 = 1y5.
✓ Correct!
Not quite. The answer is
💡 There are no numbers to divide. y: 3 on top and 8 on the bottom. The bottom has more: 8 − 3 = 5, so y5 goes on the bottom. So y3y8 = 1y5.
💡 How to solve: Quotient Rule: Powers Left in the Denominator
Divide the numbers and simplify them like a fraction. Then compare the exponents of each letter: if the top has more, subtract and keep the letter on top; if the bottom has more, subtract the other way and put the letter on the bottom. For example, x3x7 = 1x4, because four x's are left on the bottom, and 4x2 y6x5 y3 = 23x3 y2.
Try a similar one
y5y6 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 There are no numbers to divide. b: 6 on top and 8 on the bottom. The bottom has more: 8 − 6 = 2, so b2 goes on the bottom. So b6b8 = 1b2.
✓ Correct!
Not quite. The answer is
💡 There are no numbers to divide. b: 6 on top and 8 on the bottom. The bottom has more: 8 − 6 = 2, so b2 goes on the bottom. So b6b8 = 1b2.
💡 How to solve: Quotient Rule: Powers Left in the Denominator
Divide the numbers and simplify them like a fraction. Then compare the exponents of each letter: if the top has more, subtract and keep the letter on top; if the bottom has more, subtract the other way and put the letter on the bottom. For example, x3x7 = 1x4, because four x's are left on the bottom, and 4x2 y6x5 y3 = 23x3 y2.
Try a similar one
y7y9 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 There are no numbers to divide. m: 2 on top and 5 on the bottom. The bottom has more: 5 − 2 = 3, so m3 goes on the bottom. So m2m5 = 1m3.
✓ Correct!
Not quite. The answer is
💡 There are no numbers to divide. m: 2 on top and 5 on the bottom. The bottom has more: 5 − 2 = 3, so m3 goes on the bottom. So m2m5 = 1m3.
💡 How to solve: Quotient Rule: Powers Left in the Denominator
Divide the numbers and simplify them like a fraction. Then compare the exponents of each letter: if the top has more, subtract and keep the letter on top; if the bottom has more, subtract the other way and put the letter on the bottom. For example, x3x7 = 1x4, because four x's are left on the bottom, and 4x2 y6x5 y3 = 23x3 y2.
Try a similar one
n2n9 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Quotient Rule: Powers Left in the Denominator — Easy Worksheet 1
Simplify. Use positive exponents only. Type a fraction with brackets around the bottom, like 2/(3x^3 y^2).