Question

If 3² × (1/3)¯⁵ =(3)ⁿ, then the value of n isOPTION A:7OPTION B:-3OPTION C:-7OPTION D:none of these​

Answer 1

Answer:

3^2 × (1\3)^-5= (3)^n

as (1\3)^-5= (3)^5

so, (3)^2×(3^)5=(3^)n

when a number is multiplied which has same,then the power of numbers are added

{3}^(2+5)=(3)^n

(3)^7=(3)^n

compare powers of the equal numbers which has same base,therefore

n=7