Mastering The Product Rule Of Exponents

Question 1 / 14

0 %

0/100

Score 0/100

1) What is the result of x^2 * x^4?

X^8

X^10

X^3

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

Explanation

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

About This Quiz

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 base, crucial for algebraic success and problem-solving efficiency.

2) What's your name?

We’ll put your name on your report, certificate, and leaderboard.

2) What is the result of y5*y3?

Y^15

Y^3

Y^2

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

Explanation

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

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

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

Explanation

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

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

8x8

2x12

1x32

2x12

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

Explanation

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

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

X^4

X^60

X^12

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

Explanation

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

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

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

Explanation

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

7) (3x5)(2x9)

24x45

5x10

12x18

6x14

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.

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.

8) -2x5*x4

-2x6

-2x9

-2x13

-2x8

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.

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.

9) What is y11*y5?

Y55

Y16

Y60

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

Explanation

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

10) (3x6)(2x4)

6x10

8x16

4x8

5x12

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.

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.

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

10y^6

16y^8

6y^7

8y8

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

Explanation

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

12) M-3*m5

M-3m*5

M-3*5m

M-15m

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.

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.

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

8x25

7x20

15x40

12x15

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.

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.