Answered

Explore IDNLearn.com's extensive Q&A database and find the answers you're looking for. Join our community to receive prompt and reliable responses to your questions from knowledgeable professionals.

Represent the following phrase as an algebraic expression, where "a number" is the letter [tex]\( x \)[/tex]. You do not need to simplify.

The cube of the product of 8 and a number.

Answer:

Sagot :

GinnyAnsweridn
Sure! Let's break down the phrase "The cube of the product of 8 and a number" step by step into an algebraic expression.

1. Identify the unknown number: Here, "a number" is represented by the variable [tex]\( x \)[/tex].

2. Determine the product of 8 and [tex]\( x \)[/tex]: To express the product of 8 and [tex]\( x \)[/tex], we multiply them together, which gives us [tex]\( 8x \)[/tex].

3. Find the cube of this product: The cube of a number or expression means raising it to the power of 3. So, we need to cube [tex]\( 8x \)[/tex].

Putting these steps together, the algebraic expression for "The cube of the product of 8 and a number" is:

[tex]\[ (8x)^3 \][/tex]

To summarize:
1. Represent "a number" with [tex]\( x \)[/tex].
2. Multiply 8 and [tex]\( x \)[/tex] to get [tex]\( 8x \)[/tex].
3. Cube the result to get [tex]\( (8x)^3 \)[/tex].

And that's the final algebraic expression!
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.