Question

Give the correct answer by details​

Answer 1

Answer:

-3

Step-by-step explanation:

Calculating left hand side

${ \frac{5}{3} }^{ - 4} \times { \frac{5}{3} }^{ - 5}$

${ \frac{5}{3} }^{( - 4) + ( - 5)}$

${ \frac{5}{3} }^{ - 4 - 5}$

${ \frac{5}{3} }^{ - 9}$

Now calculating both sides

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

since bases are equal , can be eliminated

$- 9 = 3x$

$x = - 3$

Answer 2

Given,

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

To find,

The value of x

Solution,

$we \: know \: that \: \\ a ^{n} \times a ^{m} = a ^{m + n}$

So,

$= > - 4 + ( - 5) = 3x \\ = > - 4 - 5 = 3x \\ = > - 9 = 3x \: or \: 3x = - 9 \\ = > x = \frac{ - 9}{3} \\ = > x = - 3$

Hope it helps :)