We appreciate your visit to What is the cube root of tex 8x 27 tex A tex 2x 3 tex B tex tex 2x 9 tex tex C tex 4x. 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 solve the problem of finding the cube root of [tex]\(8x^{27}\)[/tex], we can break it down into two parts: the numerical coefficient and the variable with its exponent.
1. Finding the Cube Root of the Coefficient:
- We have the number 8 in the expression. The cube root of 8 is the number that, when multiplied by itself three times, gives 8. That number is 2, since [tex]\(2^3 = 8\)[/tex].
2. Finding the Cube Root of the Variable Part:
- We have [tex]\(x^{27}\)[/tex] in the expression. To find the cube root of [tex]\(x^{27}\)[/tex], we divide the exponent by 3. This is because taking the cube root is equivalent to raising the exponent to the power of [tex]\(\frac{1}{3}\)[/tex].
- So, [tex]\((x^{27})^{\frac{1}{3}} = x^{27 \times \frac{1}{3}} = x^9\)[/tex].
Combining both results, the cube root of [tex]\(8x^{27}\)[/tex] is [tex]\(2x^9\)[/tex].
Therefore, the correct answer is [tex]\(2x^9\)[/tex].
1. Finding the Cube Root of the Coefficient:
- We have the number 8 in the expression. The cube root of 8 is the number that, when multiplied by itself three times, gives 8. That number is 2, since [tex]\(2^3 = 8\)[/tex].
2. Finding the Cube Root of the Variable Part:
- We have [tex]\(x^{27}\)[/tex] in the expression. To find the cube root of [tex]\(x^{27}\)[/tex], we divide the exponent by 3. This is because taking the cube root is equivalent to raising the exponent to the power of [tex]\(\frac{1}{3}\)[/tex].
- So, [tex]\((x^{27})^{\frac{1}{3}} = x^{27 \times \frac{1}{3}} = x^9\)[/tex].
Combining both results, the cube root of [tex]\(8x^{27}\)[/tex] is [tex]\(2x^9\)[/tex].
Therefore, the correct answer is [tex]\(2x^9\)[/tex].
Thanks for taking the time to read What is the cube root of tex 8x 27 tex A tex 2x 3 tex B tex tex 2x 9 tex tex C tex 4x. 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
