Odpowiedź:
w=2¹⁴:22¹⁴⁻⁴=2¹⁰
x=3⁴*3⁶=3⁴⁺⁶=3¹⁰
y=2*2²*2³*2⁵=2¹⁺²⁺³⁺⁵=2¹¹
z=3¹³:3²:3²=3¹³⁻²⁻²=3⁹
a)w<x b)x>z c) x:z=3¹⁰:3⁹=3¹=3 y:w=2¹¹:2¹⁰=2 x:z>y:w
zad13
a)[tex](\frac{1}{2} )^2-(-\frac{1}{2} )^3=\frac{1}{4} +\frac{1}{8}=\frac{2}{8} +\frac{1}{8} =\frac{3}{8}[/tex]
b)[tex](\frac{2}{3} )^2-\frac{2^2}{3} +\frac{2}{3^2} =\frac{4}{9}-\frac{4}{3} +\frac{2}{9} =\frac{6}{9} -\frac{4}{3} =\frac{2}{3} -\frac{4}{3} =-\frac{2}{3}[/tex]
c)10*(0,1)³-0,1*10³=10*(-0,001)-0,1*1000=-0,01-100=-99,99
d)[tex]4^2*\frac{1}{4} -(-1)^0*(-4)^2=4^2*4^{-1}-1*16=4-16=-12[/tex]
zad14
a)32*2⁴*2⁶=2⁵*2⁴⁺⁶=2⁵⁺¹⁰=2¹⁵
b)27*3¹⁰:3⁶=3³*3¹⁰⁻⁶=3³⁺⁴=3⁷
c)128*8:2⁷=2⁷*2³:2⁷=2⁷⁺³⁻⁷=2³
zad15
[tex]\frac{2^{12}}{125} *\frac{5^5}{1024} =\frac{2^{12}}{3^5} *\frac{5^5}{2^{10}} =2^2*5^2=(2*5)^2=10^2=100[/tex]
zad16
[tex]27^4*\frac{1}{3} =(3^3)^4^3^{-1}=3^{12-1}}=3^{11}}=177147[/tex]
Szczegółowe wyjaśnienie:
