Evaluate:
9^(-3/2)
Got a mental blank, please guys help me quickly!
How is it 1/27? Please show complete working out.
Negative Exponent Intuition
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For any number , the number is defined as such a number that If we for example take , then the number such that is clearly , as It can be easily seen that is always (with the exception of , of course). So, for your case, we have Remember that , so you have Since , we get which is of course .