Zadanie 1
a)
(2 x^{2} y^{3} ) ^{5} *(3 x^{3} ) ^{2} =32x^{10}y^{15}*9x^6=288x^{16}y^{15}
b)
\frac{6 a^{3} b^{5} }{ab} * \frac{ a^{4} }{ b^{2} } =\frac{6a^7b^5}{ab^3}=6a^6b^2
c)
( \sqrt{a} ) ^{4} *( \sqrt[3]{ ab^{2} } ) ^{3}=((\sqrt a)^2)^2*ab^2=a^2*ab^2=a^3b^2
Zadanie 2
a) dla x=0.1
\frac{2 + \frac{1}{x} }{3 x^{2} }=\frac{2+\frac{1}{0,1}}{3*0,1^2}=\frac{2+10}{3*0,01}=\frac{12}{0,03}=\frac{1200}{3}=400
b) dla a=2 i b=-3
3a(a+b) ^{2} -(b+1)=3a(a^2+2ab+b^2)-b-1=3a^3+6a^2b+3ab^2-b-1=3*2^3+6*2^2*(-3)+3*2*(-3)^2=24+24*(-3)+6*9=24-72+54=6
c) dla p=8 i r=9
2p- \sqrt{r} - \sqrt{r-p}=2*8-\sqrt9-\sqrt{9-8}=16-3-\sqrt1=13-1=12