Question

If (5/3)^-5 x (5/3)^11 = (5/3)^8x then the value is}?​

Answer 1

Step-by-step explanation:

Solution

$(\frac{5}{ 3} ) {}^{ - 5} \times ( \frac{5}{3} ) {}^{11} = ( \frac{5}{3} ) {}^{8x} \\ \\ = > (\frac{5}{3} ) {}^{ (- 5 + 11)} =( \frac{5}{3} ) {}^{8x} \\ \\ = > ( \frac{5}{3} ) {}^{6} = ( \frac{5}{3} ) {}^{8x} \\ \\ = > 6 = 8x \\ \\ = > x = \frac{6}{8} \\ \\ = > x = \frac{3}{4}$