Question

${ - 2}^{k + 1} \times {2}^{3} = { - 2}^{7}$


​

Answer 1

${ - 2}^{k + 1} \times {2}^{3} = { -2 }^{7}$

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

${ - 2}^{k + 4} = { - 2}^{7}$

${2}^{k + 4} = {2}^{7}$

$k + 4 = 7$

$k = 7 - 4$

$k = 3$