यदि `5sqrt(5)xx5^(3)-:5^(-3/2)=5^(a+2)`, है तो `a` का मान ज्ञात करें।

Options

A. 4
B. 5
C. 6
D. 8

Answer

A

Explanation

`5sqrt(5)xx5^(3)-:5^(-3//2)=5^(a+2)`
`implies5^(1)xx5^(1//2)xx5^(3)-:5^(-3//2)=5^(a+2)`
`implies 5^(1+1//2+3-(-3//2))=5^(a+2)`
`implies5^(1+1//2+3+3//2)=5^(a+2)`
`implies5^(1+1/2+3+3//2)=5^(a+2)`
`implies5^(6)=5^(a+2)`
`impliesa+2=6`
`impliesa=4`