Question

find the value of x ​

Answer 1

Answer:

The value of x is -1

Step-by-step explanation:

(3/5)³ x (3/5) raised to -6 = (3/5) raised to 2x-1

Using indices,

'a' raised to m x 'a' raised n = 'a' raised to (m+n)

(3/5) raised to {3+(-6)}

= (3/5) raised to (3-6)

= (3/5) raised to -3

(3/5) raised to -3 = (3/5) raised to 2x-1

Using indices,

If 'a' raised to m = 'a' raised to n

then m = n

Therefore,

-3 = 2x-1

2x -3+1

2x = -2

x = -2/2

x = -1