Question

Can someone simplify this step by step

Answer 1

Answer:

2500

Step-by-step explanation:

$\frac{ {2}^{ - 5} \times {15}^{ - 5} \times 500 }{ {5}^{ - 6} \times {6}^{ - 5} } = \frac{ {2}^{ - 5} \times {(3 \times 5)}^{ - 5} \times 5 \times 100 }{ {5}^{ - 6} \times {6}^{ - 5} } = \frac{ {2}^{ - 5} \times {3}^{ - 5} \times {5}^{ - 5} \times 5 \times {2}^{2} \times {5}^{2} }{ {5}^{ - 6} \times {2}^{ - 5} \times {3}^{ - 5} } = \frac{ {5}^{ - 5 + 1 + 2} \times {2}^{2} }{ {5}^{ - 6} } = \frac{ {5}^{ - 2} \times {2}^{2} }{ {5}^{ - 6} } = {5}^{ - 2 - ( - 6)} \times {2}^{2} = {5}^{4} \times {2}^{2} = 625 \times 4 = 2500$