Tính :
a, ( 1/7 )7 . 77
b, ( 0,125)3 . 512
c, ( 0,25)4 . 1024
d, 903/ 153
e, 7904/ 794
f,32/ ( 0,375)2
mk sẽ tick cho
Những câu hỏi liên quan
Tính:
a) (1/7)^7 .7^7
b) (0,125)^3 .512
c) (0,25)^4 .1024
d) 90^3/15^3
e) 3^2/0,375^2
f) 3^2 .1/234 .81^2 .1/3^3
g) (4.2^5) : (2^3 .1/16)
h) (2^-1 + 3^-1) : (2^-1 - 3^-1) + (2^-1 .2^0) : 2^3
i) (-1/3)^-1 - (-6/7)^9 + (1/2)^2 : 2
Cách giải chi tiết.
1) Tính
a) (0,125)3 . 512
b) (0,25)4 . 1024
c) (3/7)^21 : (9/49)^6
a/ \(\left(\dfrac{1}{7}\right)\)7 * 77
b/ (0,125)3* 512
c/ (0,25)4*1024
\(\left(\dfrac{1}{7}\right)^7\cdot7^7=\left(\dfrac{1}{7}\cdot7\right)^7=1^7=1\\ \left(0,125\right)^3\cdot512=\left(0,125\right)^3\cdot8^3=\left(0,125\cdot8\right)^3=1^3=1\\ \left(0,25\right)^4\cdot1024=\left(0,25\right)^4\cdot256\cdot4=\left(0,25\right)^4\cdot4^4\cdot4=\left(0,25\cdot4\right)^4\cdot4=1^4\cdot4=4\)
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a) \(\left(\dfrac{1}{7}\right)^7.7^7=\left(\dfrac{1}{7}.7\right)^7=1^7=1\)
b) \(\left(0.125\right)^3.512=\left(0.125\right)^3.8^3=\left(0.125\cdot8\right)^3=1^3=1\)
c) \(\left(0.25\right)^4.1024=\left(0.25\right)^4.4^5=\left(0.25\right)^4.4^4.4=\left(0.25.4\right)^4.4=1^4.4=1.4=4\)
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Tính:
a) (1,25)^8. 8^17. (1,25)^8
b) (2,5)^7. 4^15. (2,5)^6
c) (0,25)^5.8^6.(0,25)^2
d) (1/2)^5. 8^6. (1/4)^5
e) (1/3)^7. 6^7. (1/2)^8
Giúp mk nha, mk tick cho
Tính:
a, 130^3 / 40^3
b, ( 0,125 )^3 . 512
c, ( 0,25 )^4 . 1024
a) \(\frac{130^3}{40^3}=\left(\frac{130}{40}\right)^3=\left(\frac{13}{4}\right)^3=\frac{13^3}{4^3}=\frac{2197}{64}\)
b) \(\left(0,125\right)^3.512=\left(\frac{1}{8}\right)^3.2^9=\frac{1^3}{8^3}.2^9=\frac{1}{\left(2^3\right)^3}.2^9=\frac{1}{2^9}.2^9=1\)
c) \(\left(0,25\right)^4.1024=\left(\frac{1}{4}\right)^4.2^{10}=\frac{1^4}{4^4}.2^{10}=\frac{1}{\left(2^2\right)^4}.2^{10}=\frac{1}{2^8}.2^{10}=2^2=4\)
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2, tính nhanh
a,(0,4.7,36).(-2,5 )
b, (-8).(6,7 ) .0,125
c, 2,5 .(-4 ) . ( -8,9)
d,0,375 . \(7\frac{1}{3}\).(-8)
Tính nhanh :
a) \(\frac{0,125-\frac{1}{5}+\frac{1}{7}}{0,375-\frac{3}{5}+\frac{3}{7}}+\frac{\frac{1}{2}+\frac{1}{3}-0,2}{\frac{3}{4}+0,5-\frac{3}{10}}\)
\(\frac{0,125-\frac{1}{5}+\frac{1}{7}}{0,375-\frac{3}{5}+\frac{3}{7}}+\frac{\frac{1}{2}+\frac{1}{3}-0,2}{\frac{3}{4}+0,5-\frac{3}{10}}\)
= \(\frac{\frac{1}{8}-\frac{1}{5}+\frac{1}{7}}{\frac{3}{8}-\frac{3}{5}+\frac{3}{7}}+\frac{\frac{2}{4}+\frac{2}{6}-\frac{2}{10}}{\frac{3}{4}+\frac{3}{6}-\frac{3}{10}}\)
= \(\frac{\frac{1}{8}-\frac{1}{5}+\frac{1}{7}}{3.\left(\frac{1}{8}-\frac{1}{5}+\frac{1}{7}\right)}+\frac{2.\left(\frac{1}{4}+\frac{1}{6}-\frac{1}{10}\right)}{3.\left(\frac{1}{4}+\frac{1}{6}-\frac{1}{10}\right)}\)
= \(\frac{1}{3}+\frac{2}{3}\)
= \(\frac{3}{3}\)
= 1
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Tính giá trị biểu thức:
\(A=\frac{0,125-\frac{1}{5}+\frac{1}{7}}{0,375-\frac{3}{5}+\frac{3}{7}}+\frac{\frac{1}{2}+\frac{1}{3}-0,2}{\frac{3}{4}+0,5-\frac{3}{10}}\)
\(\Rightarrow A=\frac{\frac{1}{2}-\frac{1}{5}+\frac{1}{7}}{\frac{3}{8}-\frac{3}{5}+\frac{3}{7}}+\frac{\frac{1}{2}+\frac{1}{3}-\frac{1}{5}}{\frac{3}{4}+\frac{1}{2}+\frac{3}{10}}\)
\(\Rightarrow A=\frac{\frac{1}{2}-\frac{1}{5}+\frac{1}{7}}{3.\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{7}\right)}+\frac{\frac{1}{2}+\frac{1}{3}-\frac{1}{5}}{\frac{3}{2}.\left(\frac{1}{2}+\frac{1}{3}-\frac{1}{5}\right)}\)
\(\Rightarrow A=\frac{1}{3}+\frac{2}{3}\)
\(\Rightarrow A=1\)
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Tính:
a) (0,125)3 . 512
b) (0,25)4 . 1024