Simplify: (5d3)(-2d2)

Sergeant Math 8 Multiplying Monomials

Reviewed by Editorial Team

The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.

Learn about Our Editorial Process

| By Courtney Frank

Courtney Frank

Community Contributor

Quizzes Created: 45 | Total Attempts: 16,228

| Attempts: 239

Quiz Flashcard

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

1/5 Questions

Simplify: (n⁵)(n²)(m³)(m⁴)

About This Quiz

Sergeant Math 8 Multiplying Monomials quiz assesses students' ability to simplify expressions involving monomials and polynomials. It tests skills in manipulating powers and coefficients, crucial for algebra proficiency.

2.

Simplify: (5d³)(-2d²)
- 10
- -10
- 10
- -10
Correct Answer

A. -10

Explanation

The given expression can be simplified by multiplying the coefficients and adding the exponents of the variables. In this case, (5d3)(-2d2) simplifies to -10d^5, where the coefficient is -10 and the exponent of the variable d is 5. Therefore, the answer is -10.

Rate this question:
3.

Simplify: (m⁴)²
Correct Answer

A.

Explanation

To simplify (m^4)^2, we need to apply the exponent rule which states that when raising a power to a power, we multiply the exponents. In this case, we have m^4 raised to the power of 2. Multiplying the exponents 4 and 2 gives us m^8. Therefore, the simplified form of (m^4)^2 is m^8.

Rate this question:
4.

Simplify: 5x²(5²x³)
Correct Answer

A.

Explanation

The expression can be simplified using the order of operations, which states that multiplication should be done before addition or subtraction. First, we solve the multiplication within the parentheses: 52x3 = 156. Then, we multiply this result by 5x2 = 10. Therefore, the simplified expression is 10(156) = 1560.

Rate this question:
5.

Simplify: (
Correct Answer

A.