(2to the power × 5to the power -1)×5to the power 2 =
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Step-by-step explanation:
The main thing to notice is that there are an odd number of
(-2)'s and an even number of (-5)'s
Think of the (-2)'s grouped in pairs with one left over
(-2)*(-2) this is positive
(-2)*(-2) also positive
(-2) this is negative
So, you have (+) x (+) x (-) = (-)
---------------------------
What if it was +%28-2%29%5E67+ ?
You would pair these up the same way, so you'd have
a bunch of (+) x (+) x (+) . . . etc and one (-) left. that would
give you a minus result
--------------------
Back to your problem, then
+%28-2%29%5E5+=+-32+
and
+%28-5%29%5E2+=+25+
+-32+%2B+25+=+-7+
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