1.

Find the no. by wich (-6)power-1 should be multiplied so that the product becomes 9 power -1

Answer»

It is pretty EASY to solve it if you've a little basics of Indices and some of its law.


So, ACCORDING to the question we're asked to find a number which when mutiplied by (-6)power-1 gives product as 9 power -1.


Let us assume that number to be A.


So, (-6)power-1 x A = 9 power -1


or, -(1/6) x A = 1/9 [ Anything to the power -1 is the inverse of the number. ]


after simplifying we are KEEPING A in LHS to evaluate its value which is our PRIME objective and transferring EVERYTHING else in RHS.


or, A = -(6/9) = -(2/3) (Ans)


Therefore on multiplying -(2/3) with (-6)power-1 we can get 9 power -1 as product.


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