Question
[
, Simplify. Assume all variables are positive.
Write your answer in the form
or
where
Ask by Bates Simpson. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified form of
is
.
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The Deep Dive
To simplify
, we can start by breaking it down. The expression under the exponent can be written as a power of its components:
Since
, we have
Thus, the full expression simplifies to:
So, the final simplified result is
.
Now, sprinkle in some fun facts:
Did you know that the number 64 is not just an ordinary number? It’s a perfect square as and also a perfect cube as
! So, it’s like that overachiever in the math class that just keeps impressing everyone!
Did you know that the number 64 is not just an ordinary number? It’s a perfect square as
And let’s not forget, the exponent negative sign is the gate to a whole new world of fractions! It’s like flipping things upside down, which sometimes can make the math easier—just like flipping a pancake can lead to a delicious breakfast!