bardzo proszę o pomoc daje naj​

Bardzo Proszę O Pomoc Daje Naj class=

Odpowiedź :

Odpowiedź:

19.

a) = 1³/2³ * 12 = 1/8 * 12 = 1/2 * 3 = 3/2 = 1 i 1/2

b) = (-2)³ * 1/4 = (-8) * 1/4 = (-2)

c) = (-10)³ * (-0,1) = (-1000) * (-0,1) = 100

d) = 3 * 2 * ³√7 * ³√7 * ³√7 = 6 * ³√7*7*7 = 6 * ³√343 = 6 * 7 = 42

e) = 5 * 4 * ³√-6 * ³√-6 * ³√-6 = 20 * ³√-6*-6*-6 = 20 * ³√-216 = 20 * (-6) = (-120)

f) = (-7)² * ³√-2 * ³√-2 * ³√-2 = 49 * ³√-2*-2*-2 = 49 * ³√-8 = 49 * (-2) = (-98)

Szczegółowe wyjaśnienie:

[tex]a)\\(\frac12\sqrt[3]{12})^3=(\frac12)^3*12=\frac18*12=\frac{12}8=1\frac48=1\frac12[/tex]

[tex]b)\\(-2\sqrt[3]{\frac14})^3=(-2)^3*\frac14=-8*\frac14=-\frac84=-2[/tex]

[tex]c)\\(-10\sqrt[3]{-0.1})^3=(-10)^3*(-0.1)=-1000*(-0.1)=100[/tex]

[tex]d)\\3\sqrt[3]7*2(\sqrt[3]7)^2=3\sqrt[3]7*2\sqrt[3]{49}=6\sqrt[3]{343}=6*7=42[/tex]

[tex]e)\\5(\sqrt[3]{-6})^2*4\sqrt[3]{-6}=5*\sqrt[3]{(-6)*(-6)}*4\sqrt[3]{-6}=20\sqrt[3]{(-6)*(-6)*(-6)}=20*(-6)=-120[/tex]

[tex]f)\\(-7\sqrt[3]{-2})^2*\sqrt[3]{-2}=49\sqrt[3]{(-2)(-2)(-2)}=49*(-2)=-98[/tex]