Question

if 5 power 8 by 5 power 2 = (25) power 2p-1 then find p​

Answer 1

Step 1: 5⁸/5²=25 to the power of 2p-1

5⁸/5²=25^2p-1

Step 2: 5⁸/5² can be simplified into 5⁶

5⁶=25^2p-1

Step 3:25 can be written as 5²

5⁶=5^2(2p-1)

Step 4:As the base is same on the either sides

of the equation,we can equate the powers

6=2(2p-1) (transpose 2 to the other LHS

of equation

6/2=2p-1

3=2p-1

4=2p

4/2=p

p=2