(c)Simplify without the use of a calculator \frac{ {6}^(x) * 3 ^(x - 2) }{6. {18}^(x-2) } ​

Question

(c)Simplify without the use of a calculator


`\frac{ {6}^(x) * 3 ^(x - 2) }{6. {18}^(x-2) }`

​

Answer 1

Explanation:

`\frac{ {6}^(x) }{6} * ({ (3)/(18) })^(x - 2) = {6}^(x - 1) * {6}^(2 - x) = {6}^((x - 1 + 2 - x)) = {6}^(1) = 6`