Vereenuoudig die clitdrukking $$ \frac{2^{x} \cdot 2^{x+1}}{2^{x}-2^{x+2}} $$

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Calculate or simplify the expression $$ \frac{2^{x} \cdot 2^{x+1}}{2^{x}-2^{x+2}} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{2^{x}	imes 2^{x+1}}{2^{x}-2^{x+2}}$$
- step1: Multiply the terms:
  $$\frac{2^{2x+1}}{2^{x}-2^{x+2}}$$
- step2: Subtract the terms:
  $$\frac{2^{2x+1}}{-3	imes 2^{x}}$$
- step3: Rewrite the expression:
  $$\frac{2^{x+1}}{-3}$$
- step4: Rewrite the fraction:
  $$-\frac{2^{x+1}}{3}$$
The simplified expression for $$ \frac{2^{x} \cdot 2^{x+1}}{2^{x}-2^{x+2}} $$ is $$ -\frac{2^{x+1}}{3} $$.
The simplified expression is $$ -\frac{2^{x+1}}{3} $$.

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