Question

Could anyone help answer the question in the photo?

Answer 1

`n = -3/10`

Explanation:

Given the expression
`\frac{\sqrt[5]{b} }{\sqrt[]{b} }`

`\frac{\sqrt[5]{b} }{\sqrt[]{b} } \\= (b^(1/5))/(b^(1/2)) \\= b^(1/5-1/2)\\= b ^(2-5/10)\\= b^(-3/10)\\Compare \ b^n \ with \ b^(-3/10)\\\\n = -3/10`