مقدمه
توان های كسری تعمیمی از توان های صحیح اند و قواعد محاسبه آنها نباید طوری باشد كه با دانسته های قبلی ما از قواعد توان، در تضاد باشد.
به عبارت دیگر تمام قواعدی كه در محاسبه با توان های صحیح گفته شد، برای محاسبه با توانهای كسری نیز برقرار است.
تعریف
بهعنوان نمونه، جدول زیر را کامل میکنیم:
![](data:image/png;base64,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)
همانطور که مشاهده میکنید، بر طبق قضیه فوق و جدول بالا جواب های هر دو سطر برابرند.
با انتخاب چند عدد دیگر برای و داریم:
![](data:image/png;base64,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)
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