13) $$ 2 x \cdot(2 x)^{x+1} \cdot(2 x)^{x+2} \cdot(2 x)^{x-3}= $$

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Calculate or simplify the expression $$ 2x*(2x)^(x+1)*(2x)^(x+2)*(2x)^(x-3) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$2x\left(2x\right)^{x+1}\left(2x\right)^{x+2}\left(2x\right)^{x-3}$$
- step1: Multiply the terms:
  $$2x\left(2x\right)^{x+1+x+2+x-3}$$
- step2: Calculate:
  $$2x\left(2x\right)^{3x}$$
- step3: Multiply:
  $$\left(2x\right)^{1+3x}$$
- step4: Add the terms:
  $$\left(2x\right)^{3x+1}$$
La expresión $$2x \cdot (2x)^{x+1} \cdot (2x)^{x+2} \cdot (2x)^{x-3}$$ se simplifica a $$(2x)^{3x+1}$$.
La expresión simplificada es $$(2x)^{3x+1}$$.

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