Or press and hold the picture and choose “Save image”.
for Whoobee's shop
Exponent Rules — Easy Worksheet 1
Grade 9 · MathSheets Name: ____________________ Date: __________
Simplify each expression using exponent rules.
How to solve
When multiplying powers with the same base, add the exponents: xa × xb = xa+b. When dividing, subtract them: xa ÷ xb = xa-b. For a power of a power, multiply them: (xa)b = xab. Write only the missing exponent.
Example
x2 × x7 = x
Answer: 9
Not quite. The answer is
💡 Product rule: when you multiply powers of the same base, add the exponents. x3 × x2 = x3+2 = x5. The answer is 5.
✓ Correct!
Not quite. The answer is
💡 Product rule: when you multiply powers of the same base, add the exponents. x3 × x2 = x3+2 = x5. The answer is 5.
💡 How to solve: Exponent Rules
When multiplying powers with the same base, add the exponents: xa × xb = xa+b. When dividing, subtract them: xa ÷ xb = xa-b. For a power of a power, multiply them: (xa)b = xab. Write only the missing exponent.
Try a similar one
x3 × x5 = x
✓ 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
💡 Product rule: when you multiply powers of the same base, add the exponents. x5 × x8 = x5+8 = x13. The answer is 13.
✓ Correct!
Not quite. The answer is
💡 Product rule: when you multiply powers of the same base, add the exponents. x5 × x8 = x5+8 = x13. The answer is 13.
💡 How to solve: Exponent Rules
When multiplying powers with the same base, add the exponents: xa × xb = xa+b. When dividing, subtract them: xa ÷ xb = xa-b. For a power of a power, multiply them: (xa)b = xab. Write only the missing exponent.
Try a similar one
x8 × x6 = x
✓ 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
💡 Product rule: when you multiply powers of the same base, add the exponents. x8 × x4 = x8+4 = x12. The answer is 12.
✓ Correct!
Not quite. The answer is
💡 Product rule: when you multiply powers of the same base, add the exponents. x8 × x4 = x8+4 = x12. The answer is 12.
💡 How to solve: Exponent Rules
When multiplying powers with the same base, add the exponents: xa × xb = xa+b. When dividing, subtract them: xa ÷ xb = xa-b. For a power of a power, multiply them: (xa)b = xab. Write only the missing exponent.
Try a similar one
x7 × x6 = x
✓ 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
💡 Product rule: when you multiply powers of the same base, add the exponents. x4 × x6 = x4+6 = x10. The answer is 10.
✓ Correct!
Not quite. The answer is
💡 Product rule: when you multiply powers of the same base, add the exponents. x4 × x6 = x4+6 = x10. The answer is 10.
💡 How to solve: Exponent Rules
When multiplying powers with the same base, add the exponents: xa × xb = xa+b. When dividing, subtract them: xa ÷ xb = xa-b. For a power of a power, multiply them: (xa)b = xab. Write only the missing exponent.
Try a similar one
x3 × x6 = x
✓ 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
💡 Product rule: when you multiply powers of the same base, add the exponents. x8 × x5 = x8+5 = x13. The answer is 13.
✓ Correct!
Not quite. The answer is
💡 Product rule: when you multiply powers of the same base, add the exponents. x8 × x5 = x8+5 = x13. The answer is 13.
💡 How to solve: Exponent Rules
When multiplying powers with the same base, add the exponents: xa × xb = xa+b. When dividing, subtract them: xa ÷ xb = xa-b. For a power of a power, multiply them: (xa)b = xab. Write only the missing exponent.
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.
Not quite. The answer is
💡 Product rule: when you multiply powers of the same base, add the exponents. x7 × x2 = x7+2 = x9. The answer is 9.
✓ Correct!
Not quite. The answer is
💡 Product rule: when you multiply powers of the same base, add the exponents. x7 × x2 = x7+2 = x9. The answer is 9.
💡 How to solve: Exponent Rules
When multiplying powers with the same base, add the exponents: xa × xb = xa+b. When dividing, subtract them: xa ÷ xb = xa-b. For a power of a power, multiply them: (xa)b = xab. Write only the missing exponent.
Try a similar one
x6 × x7 = x
✓ 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
💡 Product rule: when you multiply powers of the same base, add the exponents. x2 × x5 = x2+5 = x7. The answer is 7.
✓ Correct!
Not quite. The answer is
💡 Product rule: when you multiply powers of the same base, add the exponents. x2 × x5 = x2+5 = x7. The answer is 7.
💡 How to solve: Exponent Rules
When multiplying powers with the same base, add the exponents: xa × xb = xa+b. When dividing, subtract them: xa ÷ xb = xa-b. For a power of a power, multiply them: (xa)b = xab. Write only the missing exponent.
Try a similar one
x5 × x3 = x
✓ 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
💡 Product rule: when you multiply powers of the same base, add the exponents. x4 × x4 = x4+4 = x8. The answer is 8.
✓ Correct!
Not quite. The answer is
💡 Product rule: when you multiply powers of the same base, add the exponents. x4 × x4 = x4+4 = x8. The answer is 8.
💡 How to solve: Exponent Rules
When multiplying powers with the same base, add the exponents: xa × xb = xa+b. When dividing, subtract them: xa ÷ xb = xa-b. For a power of a power, multiply them: (xa)b = xab. Write only the missing exponent.
Try a similar one
x5 × x8 = x
✓ 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.
Exponent Rules — Easy Worksheet 1
Simplify each expression using exponent rules.