Question

Simplify the question pleaseee

Answer 1

${2}^{2n} = {16}^{n + 1} \\ \\ {2}^{2n} = {( {2}^{4} )}^{n + 1} \\ \\ {2}^{2n} = {2}^{4(n + 1)} \\ \\ {2}^{2n} = {2}^{4n + 4} \\ \\ 2n = 4n + 4 \\ \\ 4n - 2n = - 4 \\ \\ 2n = - 4 \\ \\ n = - 2$

Answer 2

2

2n

=16

n+1

2

2n

=(2

4

)

n+1

2

2n

=2

4(n+1)

2

2n

=2

4n+4

2n=4n+4

4n−2n=−4

2n=−4

n=−2