Question

(5/3)power-4×(5/3)power-5=(5/3)power3x

Answer 1

Hey friend, Harish here.

Here is your answer:

$(\frac{5}{3})^{-4} \times (\frac{5}{3})^{-5} = (\frac{5}{3})^{3x}$

⇒ $(\frac{5}{3})^{(-4-5)}= (\frac{5}{3})^{3x}$

⇒ $(\frac{5}{3})^{-9} = (\frac{5}{3})^{3x}$

Now as the bases are we can compare the power. 

Then, 

⇒ $3x =-9$

⇒ $x= \frac{-9}{3} = -3$

Therefore the value of x is -3.
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Hope my answer is helpful to you.