Could anyone help answer the question in the photo?

asked May 26, 2022 183k views

22 votes

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4 votes

Answer:

n = -3/10

Explanation:

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

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

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