If (–3)^m+1 × (–3)⁵ = (–3)⁷, then the value of m is:

Solution 

(–3)^m+1 × (–3)⁵ = (–3)⁷

$\Rightarrow$(–3)^m+1+5 = (–3)⁷

$\Rightarrow$(–3)^m+6 = (–3)⁷

Comparing the exponent of both sides, we get,

$\Rightarrow$m+6 = 7

$\Rightarrow$m = 7$-$6

$\Rightarrow$m = 1