We appreciate your visit to Which of the following is equal to the fraction below tex left frac 4 5 right 6 tex A tex 6 cdot left frac 4. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine which option is equal to the fraction [tex]\(\left(\frac{4}{5}\right)^6\)[/tex], let's evaluate each choice and compare them to the expression:
1. Evaluate the expression [tex]\(\left(\frac{4}{5}\right)^6 \)[/tex]:
- Compute [tex]\((\frac{4}{5})^6\)[/tex].
- This gives us approximately 0.262144.
2. Evaluate each option:
- Option A: [tex]\(6 \cdot \left(\frac{4}{5}\right)\)[/tex]
- Calculate: [tex]\(6 \times 0.8 = 4.8\)[/tex]
- This is clearly not equal to 0.262144.
- Option B: [tex]\(\frac{4^6}{5^6}\)[/tex]
- Let's compute: [tex]\(\frac{4096}{15625}\)[/tex]
- This equals approximately 0.262144, which matches the expression [tex]\(\left(\frac{4}{5}\right)^6\)[/tex].
- Option C: [tex]\(\frac{4^6}{5}\)[/tex]
- Calculate: [tex]\(\frac{4096}{5} = 819.2\)[/tex]
- This is not equal to 0.262144.
- Option D: [tex]\(\frac{24}{30}\)[/tex]
- Simplify: [tex]\(\frac{24}{30} = 0.8\)[/tex]
- This is not equal to 0.262144.
3. Comparison:
From the calculations, option B gives us the same value as [tex]\(\left(\frac{4}{5}\right)^6\)[/tex], which is approximately 0.262144.
Therefore, the correct choice is B. [tex]\(\frac{4^6}{5^6}\)[/tex].
1. Evaluate the expression [tex]\(\left(\frac{4}{5}\right)^6 \)[/tex]:
- Compute [tex]\((\frac{4}{5})^6\)[/tex].
- This gives us approximately 0.262144.
2. Evaluate each option:
- Option A: [tex]\(6 \cdot \left(\frac{4}{5}\right)\)[/tex]
- Calculate: [tex]\(6 \times 0.8 = 4.8\)[/tex]
- This is clearly not equal to 0.262144.
- Option B: [tex]\(\frac{4^6}{5^6}\)[/tex]
- Let's compute: [tex]\(\frac{4096}{15625}\)[/tex]
- This equals approximately 0.262144, which matches the expression [tex]\(\left(\frac{4}{5}\right)^6\)[/tex].
- Option C: [tex]\(\frac{4^6}{5}\)[/tex]
- Calculate: [tex]\(\frac{4096}{5} = 819.2\)[/tex]
- This is not equal to 0.262144.
- Option D: [tex]\(\frac{24}{30}\)[/tex]
- Simplify: [tex]\(\frac{24}{30} = 0.8\)[/tex]
- This is not equal to 0.262144.
3. Comparison:
From the calculations, option B gives us the same value as [tex]\(\left(\frac{4}{5}\right)^6\)[/tex], which is approximately 0.262144.
Therefore, the correct choice is B. [tex]\(\frac{4^6}{5^6}\)[/tex].
Thanks for taking the time to read Which of the following is equal to the fraction below tex left frac 4 5 right 6 tex A tex 6 cdot left frac 4. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
