Question

find the value of n 2n × 2⁶/2-³ = 2¹⁸​

Answer 1

Answer:

${2}^{n} \times ( \frac{ {2}^{6} }{ {2}^{ - 3} } ) = {2}^{18} \\ {2}^{n} \times {2}^{6 - ( - 3)} = {2}^{18} \\ {2}^{n} \times {2}^{6 + 3} = {2}^{18} \\ {2}^{n} \times {2}^{9} = {2}^{18} \\ n + 9 = 18 \\ n = {18} - {9} \\ n = 9$

Let's check whether it's correct or not

${2}^{9} \times \frac{ {2}^{6} }{ {2}^{ - 3} } = {2}^{18} \\ {2}^{9} \times {2}^{9} = {2}^{18} \\ {2}^{18} = {2}^{18}$

L.H.S=R.H.S

hence verified