Question

о.2⁻⁴ ·5⁻³
16⁻¹·0.125⁻²

Answer 1

$0.2^{-4}*5^{-3}=(frac{2}{10})^{-4}*frac{1}{5^3}=(frac{10}{2})^{4}*frac{1}{5^3}=5^4 frac{1}{5^3}=5^{4-3}=5^1=5$
$16^{-1}*0.125^{-2}= frac{1}{16}*(frac{125}{1000})^{-2}= frac{1}{16}*(frac{1000}{125})^{2}=frac{1}{16}*8^{2}= frac{64}{16}=4$

Answer 2

Решение:
0,2^-4 * 5^-3=(2/10)^-4 * 5^-3=(10/2)^4 * 1/(5^3)=5^4*1/(5)^3=5

(16)^-1 *(125/1000)^-2=1/16 *(1000/125)^2=1/16*1000000/125=8000/16=500