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Show in exponential form : -3125/7776...

Show in exponential form : `-3125/7776`

Text Solution

Verified by Experts

`-3125/7776 = -(5*5*5*5*5)/(9*9*3*4*4*2)`
`= - (5)^5/(3*3*3*3*3*2*2*2*2*2)`
`= - (5)^5/(3^5*2^5)`
`=((-1)^1(5)^5)/(3^5*2^5)`
`:. -3125/7776 = ((-1)^1(5)^5)/(3^5*2^5)`
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