Question

Find the value of k if (-2)k+1 (-2)3 = (-2) 7​

Answer 1

We are given an equation (-2)k+1 (-2)3 = (-2) 7​

We have to solve the equation in order to find the value of k

(-2)k+1 (-2)3 = (-2) 7​

        -2k - 6 = -14

               -2k = -14 + 6

                - 2k = - 8

                     k = 8 / 2

                     k = 4

Hence, the value of k will be 4

Answer 2

• As per the data given in the question, we have to find the value of the expression.

           Given data:- $(-2)k+1(-2)3=(-2)7.$

           To find:- Value of the expression.

           Solution:-

• Here, we will use the below following steps to find a solution using the transposition method:

• Step 1:- we will Identify the variables and constants in the given simple equation.

• Step 2:-then we Simplify the equation in LHS and RHS.

• Step 3:- Transpose or shift the term on the other side to solve the equation further simplest.

• Step 4:- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.

• Step 5:- Then the result will be the solution for the given linear equation. By using the transposition method. we get,

           $\Rightarrow(-2) k+1(-2) 3 &=(-2) 7 \\\Rightarrow -2 k-6 &=-14 \\\Rightarrow -2 k=-14+6 \\\Rightarrow -2 k=-8 \\\Rightarrow k =\frac{8}{2} \\\Rightarrow\ k=4.\end{aligned}$

       Hence we will get the value $k=4.$