Question

simplify 2^22-2^21/2^21-2^20
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Answer 1

Step-by-step explanation:

$\frac{ {2}^{22} - {2}^{21} }{ {2}^{21} - {2}^{20} } \\ = \frac{ {2}^{21} (2 - 1)}{ {2}^{20} (2 - 1)} \\ = \frac{ {2}^{21} \times 1}{ {2}^{20} \times 1} \\ = \frac{ {2}^{21} }{ {2}^{20} } \\ = {2}^{21} \times {2}^{ - 20} \\ = {2}^{21 - 20} \\ = {2}^{1} \\ = 2$

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