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Quotient Rule of Exponents — Easy Worksheet 1
Grade 8 · MathSheets Name: ____________________ Date: __________
Simplify. Divide powers with the same base by subtracting the exponents.
How to solve
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Example
31037 = 3
Answer: 3
Not quite. The answer is
💡 Both powers have the base 7, so keep the base and subtract the bottom exponent from the top one: 7 − 5 = 2. So 7775 = 72, and the missing exponent is 2.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 7, so keep the base and subtract the bottom exponent from the top one: 7 − 5 = 2. So 7775 = 72, and the missing exponent is 2.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
31234 = 3
✓ 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
💡 Both powers have the base 3, so keep the base and subtract the bottom exponent from the top one: 5 − 2 = 3. So 3532 = 33, and the missing exponent is 3.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 3, so keep the base and subtract the bottom exponent from the top one: 5 − 2 = 3. So 3532 = 33, and the missing exponent is 3.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
2725 = 2
✓ 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
💡 Both powers have the base 5, so keep the base and subtract the bottom exponent from the top one: 9 − 5 = 4. So 5955 = 54, and the missing exponent is 4.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 5, so keep the base and subtract the bottom exponent from the top one: 9 − 5 = 4. So 5955 = 54, and the missing exponent is 4.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
7674 = 7
✓ 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
💡 Both powers have the base 4, so keep the base and subtract the bottom exponent from the top one: 9 − 2 = 7. So 4942 = 47, and the missing exponent is 7.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 4, so keep the base and subtract the bottom exponent from the top one: 9 − 2 = 7. So 4942 = 47, and the missing exponent is 7.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
51053 = 5
✓ 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
💡 Both powers have the base 4, so keep the base and subtract the bottom exponent from the top one: 7 − 3 = 4. So 4743 = 44, and the missing exponent is 4.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 4, so keep the base and subtract the bottom exponent from the top one: 7 − 3 = 4. So 4743 = 44, and the missing exponent is 4.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
5954 = 5
✓ 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
💡 Both powers have the base 7, so keep the base and subtract the bottom exponent from the top one: 7 − 4 = 3. So 7774 = 73, and the missing exponent is 3.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 7, so keep the base and subtract the bottom exponent from the top one: 7 − 4 = 3. So 7774 = 73, and the missing exponent is 3.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
51255 = 5
✓ 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
💡 Both powers have the base 7, so keep the base and subtract the bottom exponent from the top one: 8 − 4 = 4. So 7874 = 74, and the missing exponent is 4.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 7, so keep the base and subtract the bottom exponent from the top one: 8 − 4 = 4. So 7874 = 74, and the missing exponent is 4.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
31137 = 3
✓ 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
💡 Both powers have the base 6, so keep the base and subtract the bottom exponent from the top one: 6 − 3 = 3. So 6663 = 63, and the missing exponent is 3.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 6, so keep the base and subtract the bottom exponent from the top one: 6 − 3 = 3. So 6663 = 63, and the missing exponent is 3.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
6863 = 6
✓ 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 of Exponents — Easy Worksheet 1
Simplify. Divide powers with the same base by subtracting the exponents.