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Calculate or simplify the expression
.
Simplify the expression by following steps:
Simplify the expression by following steps:
- step0: Solution:
- step1: Evaluate:
- step2: Evaluate:
- step3: Calculate:
- step4: Calculate:
- step5: Calculate:
- step6: Calculate:
The expressionsimplifies to in standard form.
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Extra Insights
To express
in standard form
, we first recognize that the powers of
(where
) cycle every four terms:
We can find
by determining the remainder of
, since the powers cycle every four indices. The division gives:
This means
is equal to
:
Thus, in standard form, we have:
So the final expression is: