Question

$27*3^{n+2} =243$

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$27 \times {3}^{n + 2} = 243 \\ ⇒{3}^{3} \times {3}^{n + 2} = {3}^{5} \\ ⇒ {3}^{3 + (n + 2)} = {3}^{5} \\ ⇒ \: {3}^{3 + n + 2} = {3}^{5} \\ ⇒{3}^{n + 5} = {3}^{5} \\ ⇒ n + 5 = 5 \\⇒ n = 5 - 5 \\ ⇒ n = 0$

formulas used are

${a}^{m} \times {a}^{n} = {a}^{m + n} \\ {a}^{m} = {a}^{n} \\ ⇒m = n$