Question

Fractional indices pls help

Answer 1

Formula used :

• (a^m)^n = a^(m×n)
• a^m × a^n = a^(m+n)

`27 * {9}^(3x) = {3}^(k) \\ {3}^(3) * { {(3}^(2)) }^(3x) = {3}^(k) \\ {3}^(k) = {3}^(3) * {3}^((2 * 3x)) \\ {3}^(k) = {3}^(3) * {3}^(6x) \\ {3}^(k) = {3}^((6x + 3)) \\ \boxed{k = 6x + 3}`

• k = (6x+3) is the right answer.