1/36^-10√х=2^5х*3^5х

Question

1/36^-10√х=2^5х*3^5х

Answer 1

1/36 ^ ( - 10 √ x ) = 2 ^ 5x * 3 ^ 5x 
1/36 ^ ( - 10 √ x ) = 6 ^ 5x 
( 6 ^ - 2 ) ^ ( - 10√x ) = 6 ^ 5x 
6 ^ ( - 2 *( - 10√x )) = 6 ^ 5x 
6 ^ ( 20√ x ) = 6 ^ 5x 
20 √ x = 5x 
20 = 5x : ( √ x ) 
20 = 5√x 
√ x = 20 : 5 
√ x = 4 
x = 16