Exponents - Product Rule

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| Questions: 14
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1. What is the result of x^2 * x^4?

Explanation

When multiplying variables with the same base, you add the exponents.

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About This Quiz
Exponent Rules Quizzes & Trivia

Explore the product rule of exponents in this focused activity designed to enhance your mathematical skills. This quiz will challenge your understanding of multiplying powers with the same... see morebase, crucial for algebraic success and problem-solving efficiency. see less

2. What is the result of y5*y3?

Explanation

When multiplying variables with the same base and different exponents, you add the exponents together. Therefore, y5*y3 = y^8.

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3. What is the result of (x3)(x2)?

Explanation

The correct answer is obtained by adding the exponents when multiplying like terms. Therefore, x3 multiplied by x2 results in x5.

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4. What is the result of 2x4*x8?

Explanation

To solve the expression, we first multiply 2 and 4 to get 8. Then we multiply 8 and 8 to get 32.

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5. (x^6)(x^10)

Explanation

When multiplying two terms with the same base, you add the exponents. Therefore, x^6 * x^10 = x^(6+10) = x^16.

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6. What is the result of 2x2*2x6?

Explanation

The correct order of operations is multiplication first, so 2x2=4, then 4*2=8, and finally 8x6=24.

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7. (3x5)(2x9)

Explanation

To calculate the answer, we need to multiply the numbers in the parentheses first to get: (3x5)(2x9) = 15x18. Then, we multiply 15 and 18 to get the final answer: 6x14.

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8. -2x5*x4

Explanation

To solve this expression, first multiply 5 and 4 to get 20. Then multiply -2 and 20 to get -40. Therefore, the correct answer is -2x9.

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9. What is y11*y5?

Explanation

To find the product of y11*y5, you add the exponents together which results in y16.

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10. (3x6)(2x4)

Explanation

To solve this problem, first multiply 3 and 6 to get 18. Then, multiply 2 and 4 to get 8. Finally, multiply 18 and 8 to get 144. Therefore, the correct answer is 6x10, not 5x12, 4x8, or 8x16.

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11. Simplify the expression 4y^5 * 2y^3.

Explanation

When multiplying terms with the same base, you add the exponents. So, 4y^5 * 2y^3 = 8y^(5+3) = 8y^8.

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12. M-3*m5

Explanation

In the expression m-3*m5, the correct order of operations is to multiply 3 by m first, then multiply the result by 5, and finally subtract it from m. Therefore, the correct answer is m-3*m5.

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13. Simplify the expression (3x5)(4x10).

Explanation

To simplify the expression, we first multiply the numbers within each parenthesis to get 15 and 40. Then, we multiply these two results together to get the final answer of 12x15.

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14. What is the result of x9*x-3?

Explanation

To solve the expression x9*x-3, we first multiply 9 with x to get 9x and then subtract 3. Therefore, the correct answer is 9x-3.

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What is the result of x^2 * x^4?
What is the result of y5*y3?
What is the result of (x3)(x2)?
What is the result of 2x4*x8?
(x^6)(x^10)
What is the result of 2x2*2x6?
(3x5)(2x9)
-2x5*x4
What is y11*y5?
(3x6)(2x4)
Simplify the expression 4y^5 * 2y^3.
M-3*m5
Simplify the expression (3x5)(4x10).
What is the result of x9*x-3?
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