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Simplifying Monomial Fractions with Products — Easy Worksheet 1
Grade 8 · Whoobee Name: ____________________ Date: __________
Simplify. Multiply first, then divide. Use positive exponents only. Type a fraction with brackets around the bottom, like 1/(6x^3 y^2).
How to solve
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Example
a2a2 · a5 = ___
Answer: 1a5
Not quite. The answer is
💡 Multiply the bottom first: add the exponents of n: 3 + 3 = 6. The bottom is n6. There are no numbers to divide. n: 2 on top and 6 on the bottom. The bottom has more: 6 − 2 = 4, so n4 goes on the bottom. So n2n3 · n3 = 1n4.
✓ Correct!
Not quite. The answer is
💡 Multiply the bottom first: add the exponents of n: 3 + 3 = 6. The bottom is n6. There are no numbers to divide. n: 2 on top and 6 on the bottom. The bottom has more: 6 − 2 = 4, so n4 goes on the bottom. So n2n3 · n3 = 1n4.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
bb4 · b5 = ___
✓ 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
💡 Multiply the bottom first: add the exponents of a: 4 + 2 = 6. The bottom is a6. There are no numbers to divide. a: 5 on top and 6 on the bottom. The bottom has more: 6 − 5 = 1, so a goes on the bottom. So a5a4 · a2 = 1a.
✓ Correct!
Not quite. The answer is
💡 Multiply the bottom first: add the exponents of a: 4 + 2 = 6. The bottom is a6. There are no numbers to divide. a: 5 on top and 6 on the bottom. The bottom has more: 6 − 5 = 1, so a goes on the bottom. So a5a4 · a2 = 1a.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
y2y5 · y5 = ___
✓ 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. Multiply the bottom first: add the exponents of a: 1 + 4 = 5. The bottom is a5. There are no numbers to divide. a: 1 on top and 5 on the bottom. The bottom has more: 5 − 1 = 4, so a4 goes on the bottom. So aa · a4 = 1a4.
✓ Correct!
Not quite. The answer is
💡 A letter with no exponent written has exponent 1. Multiply the bottom first: add the exponents of a: 1 + 4 = 5. The bottom is a5. There are no numbers to divide. a: 1 on top and 5 on the bottom. The bottom has more: 5 − 1 = 4, so a4 goes on the bottom. So aa · a4 = 1a4.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
nn3 · n3 = ___
✓ 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. Multiply the bottom first: add the exponents of b: 3 + 1 = 4. The bottom is b4. There are no numbers to divide. b: 1 on top and 4 on the bottom. The bottom has more: 4 − 1 = 3, so b3 goes on the bottom. So bb3 · b = 1b3.
✓ Correct!
Not quite. The answer is
💡 A letter with no exponent written has exponent 1. Multiply the bottom first: add the exponents of b: 3 + 1 = 4. The bottom is b4. There are no numbers to divide. b: 1 on top and 4 on the bottom. The bottom has more: 4 − 1 = 3, so b3 goes on the bottom. So bb3 · b = 1b3.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
aa4 · a2 = ___
✓ 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. Multiply the bottom first: add the exponents of b: 1 + 3 = 4. The bottom is b4. There are no numbers to divide. b: 2 on top and 4 on the bottom. The bottom has more: 4 − 2 = 2, so b2 goes on the bottom. So b2b · b3 = 1b2.
✓ Correct!
Not quite. The answer is
💡 A letter with no exponent written has exponent 1. Multiply the bottom first: add the exponents of b: 1 + 3 = 4. The bottom is b4. There are no numbers to divide. b: 2 on top and 4 on the bottom. The bottom has more: 4 − 2 = 2, so b2 goes on the bottom. So b2b · b3 = 1b2.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
a5a5 · a4 = ___
✓ 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. Multiply the bottom first: add the exponents of n: 1 + 4 = 5. The bottom is n5. There are no numbers to divide. n: 3 on top and 5 on the bottom. The bottom has more: 5 − 3 = 2, so n2 goes on the bottom. So n3n · n4 = 1n2.
✓ Correct!
Not quite. The answer is
💡 A letter with no exponent written has exponent 1. Multiply the bottom first: add the exponents of n: 1 + 4 = 5. The bottom is n5. There are no numbers to divide. n: 3 on top and 5 on the bottom. The bottom has more: 5 − 3 = 2, so n2 goes on the bottom. So n3n · n4 = 1n2.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
m3m5 · m = ___
✓ 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
💡 Multiply the bottom first: add the exponents of y: 3 + 3 = 6. The bottom is y6. There are no numbers to divide. y: 5 on top and 6 on the bottom. The bottom has more: 6 − 5 = 1, so y goes on the bottom. So y5y3 · y3 = 1y.
✓ Correct!
Not quite. The answer is
💡 Multiply the bottom first: add the exponents of y: 3 + 3 = 6. The bottom is y6. There are no numbers to divide. y: 5 on top and 6 on the bottom. The bottom has more: 6 − 5 = 1, so y goes on the bottom. So y5y3 · y3 = 1y.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
mm3 · m2 = ___
✓ 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
💡 Multiply the bottom first: add the exponents of n: 2 + 5 = 7. The bottom is n7. There are no numbers to divide. n: 2 on top and 7 on the bottom. The bottom has more: 7 − 2 = 5, so n5 goes on the bottom. So n2n2 · n5 = 1n5.
✓ Correct!
Not quite. The answer is
💡 Multiply the bottom first: add the exponents of n: 2 + 5 = 7. The bottom is n7. There are no numbers to divide. n: 2 on top and 7 on the bottom. The bottom has more: 7 − 2 = 5, so n5 goes on the bottom. So n2n2 · n5 = 1n5.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
y5y2 · y5 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Simplifying Monomial Fractions with Products — Easy Worksheet 1
Simplify. Multiply first, then divide. Use positive exponents only. Type a fraction with brackets around the bottom, like 1/(6x^3 y^2).