Question

Find the value of if

Answer 1

$\bold\green{k=5}$

Step-by-step explanation:

$( \frac{125}{27} ) \times {( \frac{125}{27} )}^{k} = {( \frac{5}{3} )}^{18} \\ {( \frac{5}{3} )}^{3} \times {( \frac{5}{3} )}^{3k} = {( \frac{5}{3} )}^{18} \\ {( \frac{5}{3} )}^{3k + 3} = {( \frac{5}{3} )}^{18}$

Since, base is same so, comparing the exponents, we get

$3k + 3 = 18 \\ 3k = 18 - 3 \\ 3k = 15 \\ k = \frac{15}{3} \\ k = 5$

I hope it helps you.

$\bold\red{Mark \ Me \ Brainliest}$