Question

a. ( 3/5 )^−3 × ( 3/5 )^5 = ( 3/5 )^2x+1

Answer 1

Step-by-step explanation:

(3/5)^(-3+5)=(3/5)^2x+1. (as, a^x × a^y=a^x+y)

now,(3/5)^2=(3/5)^2x+1

= 2=2x+1. (as, a^x=a^y

therefore, x=y)

so, 1=2x

= x=1/2

hope u understand

Answer 2

Answer:

=> x =  $\frac {1}{2}$

Step-by-step explanation:

=> $\frac {3}{5} ^ {-3}$ *  $\frac {3}{5} ^ {5}$ =  $\frac {3}{5} ^ {2x + 1}$

=> $\frac {3}{5} ^ {-3 + 5 }$ =  $\frac {3}{5} ^ {2x + 1}$

=> $\frac {3}{5} ^ {2}$ =  $\frac {3}{5} ^ {2x + 1}$

As the bases are same, we compare the powers,

=> 2 = 2x + 1

=> 2x = 1

=> x =   $\frac {1}{2}$

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