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## anonymous one year ago describe how to turn (picture) into an expression with a rational exponent

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1. anonymous

|dw:1438124965451:dw|

2. jdoe0001

bear in mind that $$\large a^{\frac{{\color{blue} n}}{{\color{red} m}}} \implies \sqrt[{\color{red} m}]{a^{\color{blue} n}} \qquad \qquad \sqrt[{\color{red} m}]{a^{\color{blue} n}}\implies a^{\frac{{\color{blue} n}}{{\color{red} m}}}$$

3. jdoe0001

$$\bf \large \left(\sqrt[{\color{red}{ 3}}]{x^{\color{blue}{ 4}}}\right)^5\implies \left( x^{\frac{{\color{blue}{ 4}}}{{\color{red}{ 3}}}} \right)^5\implies x^{\frac{4}{3}\cdot 5}$$

4. anonymous

so is that the final answer or do i multiply 4/3 * 5 ? @jdoe0001

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