| ■No9397に返信(ひなたさんの記事) > (1) ([4]√3)[8]=9 > (2) ([3]√-2)9=-8 > (3) [3]√54+[3]√16=5[3]√2 > (5) 10[-1]=1/10 > (6) (0.1)[-2]=-8 > (7) 32[-1/5]=5[3]√2 > (8) (25[3])[1/2]=125 > (9) (49[-2/3])[3/4]=1/7
(1) ([4]√3)[8]=3^{(1/4)8}=3^2=9 (2) ([3]√-2)9=(-2)^{(1/3)9}=(-2)^3=-8 (3) [3]√54+[3]√16=54^(1/3)+16^(1/3)=(23^3)^(1/3)+(2^4)^(1/3)=3*3^(1/3)+2*2^(1/3)=(3+2)2^(1/3)=5[3]√2 (5) 10[-1]=10^(-1)=1/10 (6) (0.1)[-2]=10^{(-1)(-2)}=10^2=100 (7) 32[-1/5]=(2^5)^(-1/5)=2^(-1)=1/2 (8) (25[3])[1/2]={(5^2)^3}^(1/2)=5^3=125 (9) (49[-2/3])[3/4]=7^{2(-2/3)(3/4)}=7^(-1)=1/7
「*」は「掛ける」の意。(6)(7)が違うと思いますが?(4)はどこへ?
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