Question

find the value of n when:. 5^2n×5^3=5^9

Answer 1

${5}^{2n} \times {5}^{3} = {5}^{9} \\ {5}^{2n + 3} = {5}^{9}$
equating powers of same bases

2n+3=9
2n=6
n=3

Answer 2

5^(2n+3)=5^9

If the bases are same then powers are equal,

2n+3=9

2n=6

n=3