Question

find the value of k if (-2)^k+1÷(-2)^4=(-2)^6​

Answer 1

$\sf {( - 2)}^{(k + 1)} \: \div \: {( - 2)}^{4} \: = \: {( - 2)}^{6}$

$\sf⇒ \: {( \cancel{ - 2})}^{(k + 1) - 4} \: = \: {( \cancel{- 2})}^{6}$

$\sf⇒ \: k - 3\: = \: 6$

$\sf ⇒ \: \red{ \colorbox{lime}{k = 9}}$