Question

Find each product or quotient. $$ (5 k)(5 k) $$

   Find each product or quotient.
$$
(5 k)(5 k)
$$

Algebra for College Students

Algebra for College Students

Mark Dugopolski 5th Edition

Chapter 1, Problem 55

Instant Answer

Solved by Expert Julie Silva

04/25/2020

Step 1

The coefficients here are 5 and 5. So, we multiply 5 by 5 to get 25. Show more…

Show all steps

lock

Thanks for your feedback!

Find each product or quotient. $$ (5 k)(5 k) $$

Play audio

Feedback

Powered by NumerAI

Julie Silva and 71 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Laws of Exponents

When multiplying variables that have the same base, their exponents are added according to the exponent rule a^m * a^n = a^(m+n). In the context of this problem, multiplying k by k involves adding the exponents (implicitly 1 + 1) to obtain k^2.

Product of Monomials

Multiplying monomials requires separately multiplying the coefficients and applying the laws of exponents to the variables. This systematic approach simplifies the expression and is crucial in algebra when handling products of single-term expressions.

Multiplication of Constants

This concept involves multiplying the numerical coefficients from the expressions separately. For instance, multiplying 5 by 5 yields 25. This step is essential when working with algebraic expressions that include numerical factors.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later