Question

27/8^-8 * 27/8^n / 2/3^-18 = 1 find the value of n

Answer 1

Answer:

$n = 2$

check the steps below

Step-by-step explanation:

${ \frac{27}{8} }^{ - 8} \times { \frac{27}{8} }^{n} = { \frac{2}{3} }^{ + 18} \\ { \frac{27}{8} }^{n - 8} = { \frac{2}{3} }^{ 3 \times 6} \\ { \frac{8}{27} }^{8 - n} = { \frac{8}{27} }^{6} \\ 8 - n = 6 \\ n = 2$