tính
\(\frac{120^3}{40^3}\)
\(\frac{390^4}{130^4}\)
\(\frac{3^2}{\left(0,375\right)^2}\)
\(1.\)Tính
\(a)\frac{120^3}{40^3};\frac{390^4}{130^4};\frac{3^2}{0,375^2}\)
\(2.\)Tính giá trị các biểu thức sau :
\(a)\frac{45^{10}.5^{20}}{75^{15}}\) ; \(b)\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\) ; \(c)\frac{2^{15}.9^4}{6^6.8^3}\)
1. sai dấu nhé
2.a, \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(5^2.3\right)^{15}}=\frac{3^{20}.5^{30}}{5^{30}.3^{15}}=3^5=243\)
b, \(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(\frac{4}{5}\right)^5}{\left(\frac{2}{5}\right)^6}=\frac{\left(\frac{2}{5}\cdot2\right)^5}{\left(\frac{2}{5}\right)^6}=\frac{\left(\frac{2}{5}\right)^5\cdot2^5}{\left(\frac{2}{5}\right)^5\cdot\frac{2}{5}}=2^5\div\frac{2}{5}=32\cdot\frac{5}{2}=80\)
c, \(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=\frac{2^{15}.3^2}{2^{15}}=3^2=9\)
Tính:
a) \(\frac{120}{40^3}^3\); b) \(\frac{390}{130^4}^4\); c) \(\frac{3}{\left(0,375\right)^2}^2\)
\(\frac{120^3}{40^3}\)= (120:40)3 = 33 = 27
\(\frac{390^4}{130^4}\)=(390 : 130)4=34 = 81
\(\frac{3^2}{\left(0,375\right)^2}\)= (3:0,375)2 = 82 =64
a,\(\frac{120^3}{40^3}=\frac{120}{40}=3\)
b,\(\frac{390^4}{130^4}=\frac{390}{130}=3\)
c,\(\frac{3^2}{\left(0,375\right)^2}=\frac{3}{0,375}=8\)
Tính
a.\(\frac{20^3}{40^3}\)
b \(\frac{390^4}{130^4}\)
c \(\frac{3^2}{0,375^2}\)
a)\(\frac{20^3}{40^3}=\frac{1^3}{2^3}=\frac{1}{8}\)
b) \(\frac{390^4}{130^4}=\frac{3^4}{1^4}=\frac{81}{1}=81\)
c) \(\frac{3^2}{0,375^2}=\frac{8^2}{1^2}=\frac{64}{1}=64\)
a) \(\dfrac{120^3}{40^3}\);
b) \(\dfrac{390^4}{130^4}\);
c) \(\dfrac{3^2}{\left(0,375\right)^2}\)
Giải:
a) \(\dfrac{120^3}{40^3}=\left(\dfrac{120}{40}\right)^3=30^3=2700\)
b) \(\dfrac{390^4}{130^4}=\left(\dfrac{390}{130}\right)^4=30^4=810000\)
c) \(\dfrac{3^2}{\left(0,375\right)^2}=\left(\dfrac{3}{0,375}\right)^2=8^2=64\)
Đáp số: a) 2700; b) 810000; c) 64.
Chúc bạn học tốt!!!
tính
a)\(\dfrac{120^3}{40^3}\)
b)\(\dfrac{390^4}{130^4}\)
c)\(\dfrac{3^2}{\left(0,375\right)^2}\)
a) $\dfrac{120^3}{40^3}=(\dfrac{120}{40})^3=3^3=27$
b) $\dfrac{390^4}{130^4}=(\dfrac{390}{130})^4=3^4=81$
c) $\dfrac{3^2}{(0,375)^2}=(3:0,375)^2=(3:\dfrac{3}{8})^2=8^2=64$
Tính
a,\(\frac{2^{10}\cdot55+2^{10}\cdot26}{2^8\cdot27}\)
b,120:{300:[150-(2.53-23.25)]}
c,\(\left[\left(\frac{40}{130}-\frac{12}{13}\right)\cdot40\%+0,15\right]:\frac{-5}{52}\)
d,\(\frac{0,8:\left(\frac{4}{5}\cdot1,25\right)}{0,64-\frac{1}{25}}+\frac{\left(1,08-\frac{2}{25}\right):\frac{4}{7}}{\left(6\frac{5}{9}-3\frac{1}{4}\right)\cdot2\frac{2}{17}}+\left(1,2+0,5\right):\frac{1}{5}\)
Tính :
a) \(\dfrac{120^3}{40^3}\) b) \(\dfrac{390^4}{130^4}\) c) \(\dfrac{3^2}{\left(0,375\right)^2}\)
a,\(\dfrac{120^3}{40^3}=3\)
b,\(\dfrac{390^3}{130^3}=3\)
c,\(\dfrac{3^2}{\left(0,375\right)^2}=8\)
a)1203/403= (120/40)3= 33= 27
b)3904/1304=(390/130)4= 34= 81
c)32/(0,375)2= (3/0,375)2= 82= 64
a) 120^3/40^3=(120/40)^3=3^3=27
b) 390^4/130^4=(390/130)^4=3^4=81
c) 3^2/(0,375)^2=(3/0.375)^2=64
Tính:
a) \(\left(\dfrac{1}{5}\right)^5\)
b) \(\left(0,125\right)^3.512\)
c) \(\left(0,25\right)^4.1024\)
d) \(\dfrac{120^3}{40^3}\)
e) \(\dfrac{390^4}{130^4}\)
f) \(\dfrac{3^2}{\left(0,375\right)^2}\)
a) \(\left(\dfrac{1}{5}\right)^5.5^5=\left(\dfrac{1}{5}.5\right)^5=1^5=1\)
b) \(\left(0,125\right)^3.512=\left(0,512\right)^3.8^3=\left(0,512.8\right)^3=1^3=1\)
c) \(\left(0,25\right)^4.1024=\left[\left(0,25\right)^2\right]^2.32^2=\left(\dfrac{1}{6}\right)^2.32^2=\left(\dfrac{1}{6}.32\right)^2=2^2=4\)
d) \(\dfrac{120^3}{40^3}=\left(\dfrac{120}{40}\right)^3=3^3=64\)
e) \(\dfrac{390^4}{130^4}=\left(\dfrac{390}{130}\right)^4=3^4=81\)
g) \(\dfrac{3^2}{\left(0,375\right)^2}=\left(\dfrac{3}{0,375}\right)^3=8^3=512\)
a, ( \(\frac{3}{7}\))\(^{21}\): ( \(\frac{9}{49}\))\(^6\) f, ( 0,25 )\(^4\). 1024
b, \(\frac{390}{130}\)\(^4\) g, (0,125 )\(^4\). 2048
c, ( 0,125 )\(^3\). 512 h, \(\frac{120}{40}\)\(^3\)
d, \(\frac{4}{\left(0,125\right)}\)\(^2\)
e,\(\frac{3}{\left(0,375\right)}\)\(^2\)
a) \(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{47}\right)^6=\left(\frac{3}{7}\right)^{21}:\left[\left(\frac{3}{7}\right)^2\right]^6=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{12}=\left(\frac{3}{7}\right)^{21-12}=\left(\frac{3}{7}\right)^9\)
b) \(\frac{390}{130}^4=3^4=81\)
c) \(\left(0,125\right)^3.512=\frac{1}{512}.512=1\)