Question

Could anyone help answer the question in the photo?

Answer 1

Answer:

$n = -3/10$

Step-by-step explanation:

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

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