Simplify: (5d3)(-2d2)

Frank & Gardner Math 8 Multiplying Monomials Quiz 1

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Courtney Frank

Courtney Frank

Community Contributor

Quizzes Created: 45 | Total Attempts: 15,526

Questions: 5 | Attempts: 271 | Updated: Mar 16, 2023

Settings

Create your own Quiz

Questions and Answers

1.

Simplify: (n⁵)(n²)(m³)(m⁴)
- A.
- B.
- C.
- D.
Correct Answer
B.

Explanation
The given expression can be simplified by multiplying the like terms together. Since n is raised to the power of 5 and 2, and m is raised to the power of 3 and 4, we can add the exponents of n and m separately. This gives us n^7 * m^7 as the simplified form of the expression.

Rate this question:
2.

Simplify: (5d³)(-2d²)
- A.
  
  10
- B.
  
  -10
- C.
  
  10
- D.
  
  -10
Correct Answer
B. -10

Explanation
The expression (5d3)(-2d2) can be simplified by multiplying the coefficients and adding the exponents. In this case, 5 multiplied by -2 gives -10, and 3 added to 2 gives 5. Therefore, the simplified expression is -10d5.

Rate this question:
3.

Simplify: (m⁴)²
- A.
- B.
- C.
- D.
Correct Answer
B.

Explanation
To simplify (m4)2, we need to apply the exponent of 2 to the expression inside the parentheses. This means we need to multiply the exponent of 2 to both the base m and the exponent 4. Multiplying the exponents gives us m8, so the simplified expression is m8.

Rate this question:
4.

Simplify: 5x²(5²x³)
- A.
- B.
- C.
- D.
Correct Answer
C.

Explanation
The expression 5x2(52x3) can be simplified using the order of operations, which states that we should perform any calculations inside parentheses first. In this case, we have the expression 52x3 inside the parentheses. Multiplying 52 by 3 gives us 156. Next, we multiply this result by 5x2, which is equivalent to multiplying 156 by 10. Therefore, the simplified expression is 1560.

Rate this question:
5.

Simplify: (
- A.
- B.
- C.
- D.
Correct Answer
D.