Question

Find 'm' if (-3)^m+1*(-3)^5=(-3)^7

Answer 1

Using m^a*m^b=m^a+b

(-3)^m+1*(-3)^5 = (-3)^7
(-3)^ m+5 = (-3)^7

or
m+1+5 = 7
m =7-6
m= 1 Ans.............

Answer 2

Since the base is same calculate the powers alone
M+1*5=7
Power law
M+1+5=7
M+1=7-5
M+1=2
M=2-1=1
Therefore m=1
U can check it also
-3^2*-3^5=-3^7
Again substitute the powers as base is Sam e
2+5=7
LHS= RHS
WHICH showes that the answer is correct
Therefore the final answer
M=1


Hope in helped u