Ask questions, share knowledge, and connect with a vibrant community on IDNLearn.com. Join our knowledgeable community and get detailed, reliable answers to all your questions.
Sagot :
Certainly! Let's break down the expression step-by-step:
We have the expression [tex]\((18)^{\frac{1}{3}} \times (768)^{\frac{1}{3}}\)[/tex].
### Step 1: Evaluate [tex]\((18)^{\frac{1}{3}}\)[/tex]
The exponent [tex]\(\frac{1}{3}\)[/tex] represents the cube root. So, we need to find the cube root of 18. The cube root of 18 is approximately:
[tex]\[ (18)^{\frac{1}{3}} \approx 2.6207413942088964 \][/tex]
### Step 2: Evaluate [tex]\((768)^{\frac{1}{3}}\)[/tex]
Similarly, we need to find the cube root of 768. The cube root of 768 is approximately:
[tex]\[ (768)^{\frac{1}{3}} \approx 9.157713940426653 \][/tex]
### Step 3: Multiply the results
Now, we multiply the two results from the previous steps:
[tex]\[ 2.6207413942088964 \times 9.157713940426653 \approx 23.999999999999993 \][/tex]
### Final Answer
So, the result of the expression [tex]\((18)^{\frac{1}{3}} \times (768)^{\frac{1}{3}}\)[/tex] is approximately:
[tex]\[ 23.999999999999993 \][/tex]
There you have a step-by-step solution for the given expression!
We have the expression [tex]\((18)^{\frac{1}{3}} \times (768)^{\frac{1}{3}}\)[/tex].
### Step 1: Evaluate [tex]\((18)^{\frac{1}{3}}\)[/tex]
The exponent [tex]\(\frac{1}{3}\)[/tex] represents the cube root. So, we need to find the cube root of 18. The cube root of 18 is approximately:
[tex]\[ (18)^{\frac{1}{3}} \approx 2.6207413942088964 \][/tex]
### Step 2: Evaluate [tex]\((768)^{\frac{1}{3}}\)[/tex]
Similarly, we need to find the cube root of 768. The cube root of 768 is approximately:
[tex]\[ (768)^{\frac{1}{3}} \approx 9.157713940426653 \][/tex]
### Step 3: Multiply the results
Now, we multiply the two results from the previous steps:
[tex]\[ 2.6207413942088964 \times 9.157713940426653 \approx 23.999999999999993 \][/tex]
### Final Answer
So, the result of the expression [tex]\((18)^{\frac{1}{3}} \times (768)^{\frac{1}{3}}\)[/tex] is approximately:
[tex]\[ 23.999999999999993 \][/tex]
There you have a step-by-step solution for the given expression!
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.