Question

pls provide the solution of this question
$\frac{2 {}^{30} + 2 {}^{29} }{2 {}^{31} - 2 {}^{30} }$
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Answer 1

Answer:

3/2.

Step-by-step explanation:

$\frac{ {2}^{30} + {2}^{29} }{ {2}^{31} - {2}^{30} } = \frac{(2 \times {2}^{29}) + {2}^{29} }{(2 \times {2}^{30}) - {2}^{30} } \\ = \frac{ {2}^{29} (2 + 1)}{ { {2}^{30} (2 - 1)} } \\ = \frac{ {2}^{29} \times 3 }{ {2}^{30} \times 1} \\ = \frac{3 \times {2}^{29} }{2 \times {2}^{29} } \\ = \frac{3}{2}$