Question

by what number should -3.5 power minus 3 be divided so that the quotient is 3.5 power -2

Answer 1

Solution :

Let x should be divided by (-3.5)^-3

so that the quotient is ( 3.5 )^-2

[( -3.5 )^-3]/x = ( 3.5 )^-2

=> 1/( -3.5 )³x = 1/(3.5)²

[ Since , a^-n = 1/aⁿ ]

=> ( 3.5 )²/[ - ( 3.5 )³ ] = x

=> [ -1/3.5 ] = x

=> x = (- 3.5 )^-1

Therefore ,

Required number is x=(- 3.5)^-1

Or

x = -1/3.5

=> x = -10/35

=> x = -2/7

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