Question

Find M so that (-3)m+1 (-3)5=(-3)7​

Answer 1

Answer:

Step-by-step explanation:

Given that,

( - 3 )^m+1 (- 3)^5 = ( - 3 )^7 (∵" ^ " this symbol means " to the power of " )

⇒( - 3 )^m+ 1 + 5 = ( - 3 )^7 ( ∵Bases are equal then powers should be add )

⇒( - 3 )m+ 6 = ( - 3 )^7

⇒m + 6 = 7 (∵Bases are equal then powers should be equal)

⇒m = 7 - 6 (∵ transposing )

⇒ m = 1 is the answer.

Answer 2

Answer:

The value of m will be 2.

Step-by-step explanation:

Given: $(-3)m+1 (-3)5=(-3)7$

We have to find the value of$m$.

• By using the concept of equation shifting, we are solving the above equation.  
• For this, we will separate the variables on one side and the constant on another side.
• Then, we will simplify the equation.  

We are solving in the following way:  

We have,

$(-3)m+1 (-3)5=(-3)7$

Solving the above equation further we get,

$=>-3m+1(-15)=-21\\=>-3m-15=-21\\=>-3m=-21+15\\=>-3m=-6\\\\=>m=\frac{-6}{-3} \\\\=>m=2$