Question

Find the value of k (-2)^k+1 × (-2)^3 = (-2)^7

Answer 1

Answer:

k=3

Step-by-step explanation:

(-2)^k+1×(-2)^3=(-2)^7

(-2)^k+1+3=(-2)^7

k+4=7

k=7-4=3

Answer 2

Answer:

bases are same power should be added

${ (- 2)}^{k + 1} × (-2)^3 = (-2)^7$

${( - 2)}^{k + 1 + 3} = {( - 2)}^{7}$

corresponding side are equal

$k + 1 + 3 = 7$

$k + 4 = 7$

$k = 7 - 4$

$k = 3$

hope it will help you dear ☺️