The given expression can be written in the form of a simplified radical as shown.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be written in the simplified radical expression as,
[tex]\sqrt[5]{96\cdot t^{15} \cdot u^{17}}[/tex]
[tex]= \sqrt[5]{96} \cdot \sqrt[5]{t^{15}} \cdot \sqrt[5]{u^{17}}\\\\= (96)^{\frac15} \cdot (t^{15})^{\frac15} \cdot (u^{17})^{\frac15}\\\\= (2^5\cdot 3)^{5 \times \frac15} \cdot (t^{15})^{\frac15} \cdot (u^{17})^{\frac15}\\\\= 2^{5 \times \frac15} \cdot 3^{1 \times \frac15} \cdot t^{15 \times \frac15} \cdot u^{17 \times \frac15}\\\\= 2 \cdot 3^{\frac15} \cdot t^{3} \cdot u^{17 \times \frac15}\\\\= \sqrt[5]{u^{17}} \cdot 2\sqrt[5]{3} \cdot t^3[/tex]
Hence, the given expression can be written in the form of a simplified radical as shown.
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