Question

Срочно нужна помощь !!!!!

Answer 1

$1);9cdot0,01^{frac12}-2^{-1}=9cdotsqrt{0,01}-frac12=9cdot0,1-0,5=0,9-0,5=0,4\\2);-4cdotleft(3frac38right)^{frac23}-2^{-1}=-4cdotleft(frac{27}8right)^{frac23}-frac12=-4cdotleft(sqrt[3]{frac{27}8}right)^2-frac12=\=-4cdotleft(frac32right)^2-0,5=-4cdotfrac93-0,5=-9-0,5=-9,5\\3);sqrt[5]{frac{a^2cdotsqrt[3]{a^9}}{32}}=sqrt[5]{frac{a^2cdot a^3}{2^5}}=sqrt[5]{frac{a^5}{2^5}}=frac a5$

$4);2^{1-sqrt2}cdot4^{sqrt2}=2^{1-sqrt2}cdot(2^2)^{sqrt2}=2^{1-sqrt2}cdot2^{2sqrt2}=2^{1-sqrt2+2sqrt2}=2^{1+sqrt2}\\5);left(2^{frac1{sqrt2}}right)^{sqrt8}cdot2^{-1}=left(2^{frac1{sqrt2}}right)^{2sqrt2}cdot2^{-1}=2^{frac{2sqrt2}{sqrt2}}cdot2^{-1}=2^2cdotfrac12=4cdotfrac12=2$

Answer 2

Спасибо большое !!!