Question

pls help me fast.....​

Answer 1

Step-by-step explanation:

$1. \: \: ( { \frac{5}{ 3} })^{ - 4} \times ({ \frac{5}{3} })^{ - 5} = ({ \frac{5}{3} })^{3x}$

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

we compare both side for 5/3 power

=> -9 = 3x

=> x= -3( ans)

$2. \: ({ \frac{4}{9} })^{4} + ({ \frac{4}{9} })^{ - 7} = ( { \frac{4}{9} })^{2x - 1}$

$= > \: ( { \frac{4}{9} })^{4 - 7} = ( { \frac{4}{9} })^{2x - 1}$

we comapre (4/9) power of both side

=> -3 = 2x-1

=> 2x = -2

=> x= -1(ans)

Answer 2

Answer:

Step-by-step explanation:

1. \: \: ( { \frac{5}{ 3} })^{ - 4} \times ({ \frac{5}{3} })^{ - 5} = ({ \frac{5}{3} })^{3x} 1.(

3

5

)

−4

×(

3

5

)

−5

=(

3

5

)

3x

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

3

5

)

(−4−5)

=

3

5

3x

we compare both side for 5/3 power

=> -9 = 3x

=> x= -3( ans)

2. \: ({ \frac{4}{9} })^{4} + ({ \frac{4}{9} })^{ - 7} = ( { \frac{4}{9} })^{2x - 1} 2.(

9

4

)

4

+(

9

4

)

−7

=(

9

4

)

2x−1

= > \: ( { \frac{4}{9} })^{4 - 7} = ( { \frac{4}{9} })^{2x - 1} =>(

9

4

)

4−7

=(

9

4

)

2x−1

we comapre (4/9) power of both side

=> -3 = 2x-1

=> 2x = -2

=> x= -1(ans)