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Product Rule of Exponents — Easy Worksheet 2
Grade 8 · MathSheets Name: ____________________ Date: __________
Simplify. Multiply powers with the same base by adding the exponents.
How to solve
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Example
64 · 65 = 6
Answer: 9
✓ Correct!
Not quite. The answer is
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
x8 · x7 = x
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
x4 · x3 = x
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
a6 · a2 = a
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
x6 · x4 = x
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
m9 · m5 = m
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
m9 · m2 = m
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
m9 · m9 = m
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
x4 · x8 = x
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Product Rule of Exponents — Easy Worksheet 2
Simplify. Multiply powers with the same base by adding the exponents.