$$ 1 \leftarrow \frac{\sqrt[3]{t^{2}}}{\sqrt[6]{t^{2}}} $$ Simplify the expression by converting to rational exponents. Assume that all variables represent positive real numbers. $$ \quad \begin{array}{l}\frac{\sqrt[3]{t^{2}}}{\sqrt[6]{t^{2}}}=\square \ ext { (Type an exact answer.) }\end{array} $$

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$$ 1 \leftarrow \frac{\sqrt[3]{t^{2}}}{\sqrt[6]{t^{2}}} $$ Simplify the expression by converting to rational exponents. Assume that all variables represent positive real numbers. $$ \quad \begin{array}{l}\frac{\sqrt[3]{t^{2}}}{\sqrt[6]{t^{2}}}=\square \ 	ext { (Type an exact answer.) }\end{array} $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \frac{\sqrt[3]{t^{2}}}{\sqrt[6]{t^{2}}} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{\sqrt[3]{t^{2}}}{\sqrt[6]{t^{2}}}$$
- step1: Calculate:
  $$\frac{\sqrt[3]{t^{2}}}{\sqrt[3]{t}}$$
- step2: Divide the numbers:
  $$t^{\frac{2}{3}-\frac{1}{3}}$$
- step3: Subtract the terms:
  $$t^{\frac{1}{3}}$$
- step4: Simplify:
  $$\sqrt[3]{t}$$
The simplified expression is $$ \sqrt[3]{t} $$.
The simplified expression is $$ \sqrt[3]{t} $$.

Simplify the expression by converting to rational exponents. Assume that all variables represent positive real numbers.

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