Question

x^(-5) divide by X^(12)=x^(3m-2)

Answer 1

Answer:

Step-by-step explanation:

Given that,

x^(- 5 ) / x ^(12) = x ^(3m - 2)

x^( - 5 ) × x^( - 12 ) = x ^(3m - 2 ) (∵ a ^(- m ) = 1 / a ^m )

x ^ ( - 5 - 12 ) = x ^( 3m - 2 ) (∵Bases are equal, then powers should be add. )

x^ ( - 17 ) = x ^(3m - 2 )

- 17 = 3m - 2 (∵ Bases are equal, then powers should be equal. )

3m = - 17 + 2 ( ∵ transposing )

3m = - 15

m = - 15 / 3 ( ∵ transposing )

m = - 5 is the answer.