skriv uttrykkene enklere

[a.m]

skriv uttrykkene enklere:

a) (e^ln4)^2
b) e^(2*ln4)
c) e^(2ln6-ln3)

[ettam]

a) (e[sup]ln4[/sup])^2 = e[sup]ln4[/sup]*e[sup]ln4[/sup] = 4*4 = 16

b) e[sup]2ln4[/sup] = e[sup]ln4^2[/sup] = 4[sup]2[/sup] = 16

c) e[sup](2ln6 - ln3)[/sup] = e[sup]2ln6 [/sup] * e[sup]-ln3 [/sup] = e[sup]2ln6 [/sup] / e[sup]ln3 [/sup] = e[sup]ln6^2 [/sup] / e[sup]ln3 [/sup] = 6[sup]2[/sup]/3 = 36/3 = 12