Question

-2^k+1×(-2)^3 =(-2)^7

Answer 1

Answer:

My best answer is, k = 3

I hope it will help you.

Answer 2

Answer:

$\huge{ \pink {\bold{k = 3}}}$

Step-by-step explanation:

${( - 2)}^{k + 1} { (- 2)}^{3} = { - 2}^{7} \\ we \: know \: that \: {a}^{m} {a}^{n} = {a}^{m + n} \\ {( - 2)}^{k + 1 + 3} = { - 2}^{7} \\ comparing \: exponent \\ k + 4 = 7 \\ k = 7 - 4 \\ k = 3$