Simplify the following $$ \sqrt{16 e^{82}} $$ $$ =4 a $$ $$ \sqrt[3]{8 x^{3}} $$

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Calculate or simplify the expression $$ \sqrt{16e^{82}} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt{16e^{82}}$$
- step1: Rewrite the expression:
  $$\sqrt{16}	imes \sqrt{e^{82}}$$
- step2: Simplify the root:
  $$4e^{41}$$
Calculate or simplify the expression $$ 4a $$.
Simplify the expression by following steps:
- step0: Solution:
  $$4a$$
Calculate or simplify the expression $$ \sqrt[3]{8x^{3}} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\sqrt[3]{8x^{3}}$$
- step1: Transform the expression:
  $$\sqrt[3]{\left(2xight)^{3}}$$
- step2: Simplify the root:
  $$2x$$
The simplified form of $$ \sqrt{16e^{82}} $$ is $$ 4e^{41} $$ or approximately $$ 2.559374 	imes 10^{18} $$.

The simplified form of $$ 4a $$ is $$ 4a $$.

The simplified form of $$ \sqrt[3]{8x^{3}} $$ is $$ 2x $$.
$$ \sqrt{16e^{82}} = 4e^{41} $$, $$ 4a = 4a $$, $$ \sqrt[3]{8x^{3}} = 2x $$

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