Question

By which number should (-15) power -1 be divided so that the quotient is equal to (-5) power -1

Answer 1

let the number be x
as per question..
${ - 5}^{ - 1 } = { - 15}^{ - 1} \div x$
$x = { - 15}^{ - 1} \div { - 5}^{ - 1}$
we know that..

-15^-1=-1/15

=> x= -1/15 ×(-1/1/5)

=> x=(-1/15)(-5)

=> x=1/3

=> x=3^-1

hence ...
$x = {3}^{ - 1}$
hope it helps you...
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