Question
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  1. Use the laws to re-write the following expression as a power of :

Ask by Vargas Sandoval. in South Africa
Dec 07,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

The expression can be rewritten as .

Solution

To rewrite the expression as a power of , we will simplify it step by step.
  1. Start with the innermost square root:
  2. Now, we can rewrite the next square root:
  3. Next, we simplify the next square root:
  4. Now, we simplify the outermost square root:
  5. Finally, we combine this with the in front of the expression:
Thus, the expression can be rewritten as:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Mind Expander

Let’s unravel that expression a bit, shall we? Starting with the innermost square root, we can express it as powers of . The innermost can be rewritten as . Progressing outward:
  1. The next becomes .
  2. Continuing, gives us .
  3. Finally, for , it becomes .
Now plug that back into the original expression:
.
So the expression simplifies to !

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