Question

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

Answer 1

Step-by-step explanation:

The value of m is 1.

Step-by-step explanation:

Given : Expression (-3)^{m+1}\times (-3)^5=(-3)^7(−3)m+1×(−3)5=(−3)7

To find : The value of m?

Solution :

Expression (-3)^{m+1}\times (-3)^5=(-3)^7(−3)m+1×(−3)5=(−3)7

We know, x^a\times x^b=x^{a+b}xa×xb=xa+b

(-3)^{m+1+5}=(-3)^7(−3)m+1+5=(−3)7

(-3)^{m+6}=(-3)^7(−3)m+6=(−3)7

Comparing the power as bases are same,

m+6=7m+6=7

m=1m=1

Therefore, The value of m is 1.