(e) Simplify $$ n^{\frac{1}{4}} \div n^{\frac{1}{3}} imes n^{\frac{1}{8}} $$

Question

(e) Simplify $$ n^{\frac{1}{4}} \div n^{\frac{1}{3}} 	imes n^{\frac{1}{8}} $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ n^(1/4) / n^(1/3) * n^(1/8) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{n^{\frac{1}{4}}}{n^{\frac{1}{3}}}	imes n^{\frac{1}{8}}$$
- step1: Divide the terms:
  $$\frac{1}{n^{\frac{1}{12}}}	imes n^{\frac{1}{8}}$$
- step2: Reduce the fraction:
  $$1	imes n^{\frac{1}{24}}$$
- step3: Multiply the terms:
  $$n^{\frac{1}{24}}$$
- step4: Simplify:
  $$\sqrt[24]{n}$$
The simplified expression is $$ \sqrt[24]{n} $$.
The simplified expression is $$ \sqrt[24]{n} $$.

(e) Simplify

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