Question

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

Answer 1

−3)  

7

 

(−3)  

m+1

×(−3)  

5=(−3)  

m+1+5

=(−3)  

7

 

(−3)  

m+6

=(−3)  

7

 

On both the sides powers have the same base different from 1 and -1, so their exponents must be equal.

Therefore, m + 6 = 7

or                   m = 7 - 6 = 1