Write the following expression in simplified radical form. $$ \sqrt[5]{192 x^{6} w^{20}} $$ Assume that all of the variables in the expression represent positive real numbers.

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Calculate or simplify the expression $$ \sqrt[5]{192x^6w^{20}} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\sqrt[5]{192x^{6}w^{20}}$$
- step1: Write as a product:
  $$\sqrt[5]{32	imes 6x^{6}w^{20}}$$
- step2: Write in exponential form:
  $$\sqrt[5]{2^{5}	imes 6x^{6}w^{20}}$$
- step3: Rewrite the exponent:
  $$\sqrt[5]{2^{5}	imes 6x^{5+1}w^{20}}$$
- step4: Expand the expression:
  $$\sqrt[5]{2^{5}	imes 6x^{5}	imes xw^{20}}$$
- step5: Reorder the terms:
  $$\sqrt[5]{2^{5}x^{5}w^{20}	imes 6x}$$
- step6: Use the properties of radicals:
  $$\sqrt[5]{2^{5}x^{5}w^{20}}	imes \sqrt[5]{6x}$$
- step7: Simplify the root:
  $$2w^{4}x\sqrt[5]{6x}$$
The expression $$\sqrt[5]{192x^{6}w^{20}}$$ can be simplified to $$2w^{4}x\sqrt[5]{6x}$$ in simplified radical form.
The simplified radical form of the expression is $$2w^{4}x\sqrt[5]{6x}$$.

Write the following expression in simplified radical form.

Assume that all of the variables in the expression represent positive real numbers.

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Write the following expression in simplified radical form. Assume that all of the variables in the expression represent positive real numbers.