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Question -

Find the value of m forwhich 5m┬а├╖ 5-3┬а= 55.



Answer -

5m┬а├╖5-3┬а=55
тЗТ 5m-(-3)┬а= 55┬а[тИ╡ am┬а├╖an┬а=am-n]
тЗТ 5m+3┬а= 55
Comparing the powers of equal bases, we have
m + 3 = 5
m = 5 тАУ 3 = 2, i.e., m = 2

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