Question

0,125¯1 *(5 корень4 * 5 корень 8) ¯2​

Answer 1

$0.125^{ - 1} \times (5 \sqrt{4} \times 5 \sqrt{8} )^{ - 2} = \\ = ( \frac{1}{8} )^{ - 1} \times (5 \times 2 \times 5 \sqrt{8} )^{ - 2} = \\ = 8 \times {5}^{ - 2} \times 2^{ - 2} {5}^{ -2} \times {8}^{ - 1} = \\ = {2}^{3} \times {5}^{ - 2} \times {2}^{ - 2} \times {5}^{ - 2} \times {2}^{ - 3} = \\ = 2^{ - 2} \times {5}^{ - 4}$