Question
- 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.
-
Start with the innermost square root:
-
Now, we can rewrite the next square root:
-
Next, we simplify the next square root:
-
Now, we simplify the outermost square root:
-
Finally, we combine this with the
in front of the expression:
Thus, the expression
can be rewritten as:
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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:
- The next
becomes . - Continuing,
gives us . - Finally, for
, it becomes .
Now plug that back into the original expression:
So the expression simplifies to
!