Or press and hold the picture and choose “Save image”.
for Whoobee's shop
Quotient Rule: Powers Left in the Denominator — Easy Worksheet 2
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
💡 A letter with no exponent written has exponent 1. Divide the numbers: 12 ÷ 3 = 4. n: 1 on top and 3 on the bottom. The bottom has more: 3 − 1 = 2, so n2 goes on the bottom. So 12n3n3 = 4n2.
✓ Correct!
Not quite. The answer is
💡 A letter with no exponent written has exponent 1. Divide the numbers: 12 ÷ 3 = 4. n: 1 on top and 3 on the bottom. The bottom has more: 3 − 1 = 2, so n2 goes on the bottom. So 12n3n3 = 4n2.
💡 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
15n25n4 = ___
✓ 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
💡 Simplify the numbers: 36 = 12 (divide both by 3). y: 5 on top and 9 on the bottom. The bottom has more: 9 − 5 = 4, so y4 goes on the bottom. So 3y56y9 = 12y4.
✓ Correct!
Not quite. The answer is
💡 Simplify the numbers: 36 = 12 (divide both by 3). y: 5 on top and 9 on the bottom. The bottom has more: 9 − 5 = 4, so y4 goes on the bottom. So 3y56y9 = 12y4.
💡 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
16m4m5 = ___
✓ 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
💡 Simplify the numbers: 28 = 14 (divide both by 2). y: 2 on top and 6 on the bottom. The bottom has more: 6 − 2 = 4, so y4 goes on the bottom. So 2y28y6 = 14y4.
✓ Correct!
Not quite. The answer is
💡 Simplify the numbers: 28 = 14 (divide both by 2). y: 2 on top and 6 on the bottom. The bottom has more: 6 − 2 = 4, so y4 goes on the bottom. So 2y28y6 = 14y4.
💡 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
4b512b9 = ___
✓ 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
💡 Divide the numbers: 6 ÷ 2 = 3. b: 7 on top and 8 on the bottom. The bottom has more: 8 − 7 = 1, so b goes on the bottom. So 6b72b8 = 3b.
✓ Correct!
Not quite. The answer is
💡 Divide the numbers: 6 ÷ 2 = 3. b: 7 on top and 8 on the bottom. The bottom has more: 8 − 7 = 1, so b goes on the bottom. So 6b72b8 = 3b.
💡 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
8b44b8 = ___
✓ 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
💡 Simplify the numbers: 28 = 14 (divide both by 2). a: 3 on top and 5 on the bottom. The bottom has more: 5 − 3 = 2, so a2 goes on the bottom. So 2a38a5 = 14a2.
✓ Correct!
Not quite. The answer is
💡 Simplify the numbers: 28 = 14 (divide both by 2). a: 3 on top and 5 on the bottom. The bottom has more: 5 − 3 = 2, so a2 goes on the bottom. So 2a38a5 = 14a2.
💡 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
5y510y8 = ___
✓ 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
💡 Divide the numbers: 12 ÷ 3 = 4. y: 7 on top and 9 on the bottom. The bottom has more: 9 − 7 = 2, so y2 goes on the bottom. So 12y73y9 = 4y2.
✓ Correct!
Not quite. The answer is
💡 Divide the numbers: 12 ÷ 3 = 4. y: 7 on top and 9 on the bottom. The bottom has more: 9 − 7 = 2, so y2 goes on the bottom. So 12y73y9 = 4y2.
💡 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
16m24m5 = ___
✓ 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. Divide the numbers: 12 ÷ 4 = 3. b: 1 on top and 2 on the bottom. The bottom has more: 2 − 1 = 1, so b goes on the bottom. So 12b4b2 = 3b.
✓ Correct!
Not quite. The answer is
💡 A letter with no exponent written has exponent 1. Divide the numbers: 12 ÷ 4 = 3. b: 1 on top and 2 on the bottom. The bottom has more: 2 − 1 = 1, so b goes on the bottom. So 12b4b2 = 3b.
💡 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
6n62n8 = ___
✓ 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
💡 Simplify the numbers: 26 = 13 (divide both by 2). n: 5 on top and 6 on the bottom. The bottom has more: 6 − 5 = 1, so n goes on the bottom. So 2n56n6 = 13n.
✓ Correct!
Not quite. The answer is
💡 Simplify the numbers: 26 = 13 (divide both by 2). n: 5 on top and 6 on the bottom. The bottom has more: 6 − 5 = 1, so n goes on the bottom. So 2n56n6 = 13n.
💡 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
2n78n9 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Log in to save your progress.
Quotient Rule: Powers Left in the Denominator — Easy Worksheet 2
Simplify. Use positive exponents only. Type a fraction with brackets around the bottom, like 2/(3x^3 y^2).