9^8:3^2
3^7.27^5.81^3
36^5:18^5
24.5^5+5^2.5^3
125^4:5^8
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NX
17 tháng 8 2023
a) \(\dfrac{3}{8}+\dfrac{15}{-25}+\dfrac{3}{5}\)
\(=\dfrac{-9}{40}+\dfrac{3}{5}\)
\(=\dfrac{3}{8}\)
b) \(\dfrac{-5}{18}+\dfrac{23}{45}-\dfrac{9}{10}\)
\(=\dfrac{7}{30}-\dfrac{9}{10}\)
\(=\dfrac{-2}{3}\)
c) \(\dfrac{-5}{12}+\dfrac{15}{18}-2,25\)
\(=\dfrac{5}{12}-2,25\)
\(=\dfrac{-11}{6}\)
d) \(\dfrac{5}{6}+\dfrac{2}{3}-0,5\)
\(=\dfrac{3}{2}-0,5\)
\(=1\)
29 tháng 10 2016
a ) 13/20
B)
C..........................................................
minh dang tính
4 tháng 2 2022
a: \(\Leftrightarrow\left[\left(3x+14\right):4-3\right]:2=1\)
=>(3x+14):4-3=2
=>(3x+14):4=5
=>3x+14=20
=>3x=6
hay x=2
b: \(\Leftrightarrow\left[\left(x:4+17\right):10+3\cdot16\right]:10=5\)
\(\Leftrightarrow\left(x:4+17\right):10=50-48=2\)
=>x:4+17=20
=>x:4=3
hay x=12
c: \(\Leftrightarrow2\cdot15^2+\left[2\cdot125-\left(2x+4\right)\cdot5\right]:19=453\)
\(\Leftrightarrow250-\left(2x+4\right)\cdot5=\left(453-450\right)\cdot19=57\)
=>5(2x+4)=197
=>2x+4=197/5
=>2x=177/5
hay x=177/10
d: \(\Leftrightarrow\left(19x+50\right):14=5^2-4^2=9\)
=>19x+50=126
=>19x=76
hay x=4
e: \(\Leftrightarrow2\cdot3^x=10\cdot3^{12}+8\cdot3^{12}=18\cdot3^{12}\)
\(\Leftrightarrow3^x=3^2\cdot3^{12}=3^{14}\)
hay x=14
f: \(\Leftrightarrow3\left(x+2\right):7=30\)
=>3(x+2)=210
=>x+2=70
hay x=68
g: \(2480-1570+200-x+5=1010\)
=>1115-x=1010
hay x=105
16 tháng 4 2023
a) 5/17 * 8/-7+8/17*-7/3+-7/3*4/17
-40/119 + 12/17 × -7/3
-40/119 + -28/17 =-236/119
b) -10/13 + 5/17 - 3/13 + 12/17 - 11/20
(5/17+12/17)-(10/13+3/13)-11/20
-11/20
17 tháng 4 2023
a) 5/17 * 8/-7+8/17*-7/3+-7/3*4/17
-40/119 + 12/17 × -7/3
-40/119 + -28/17 =-236/119
b) -10/13 + 5/17 - 3/13 + 12/17 - 11/20
(5/17+12/17)-(10/13+3/13)-11/20
-11/20
BA
10 tháng 2 2016
(1+5/4+3/2+............................+19/4):23
=4/4+5/4+6/4+7/4+8/4+.......................+19/4):23
=\(\frac{4+5+6+........+19}{4}\):23
=\(\frac{184}{4}\):23=46:23=2
`@` `\text {Ans}`
`\downarrow`
`9^8 \div 3^2`
`= (3^2)^8 \div 3^2`
`= 3^16 \div 3^2`
`=`\(3^{16-2}=3^{14}\)
_____
`3^7 * 27^5 * 81^3`
`= 3^7*(3^3)^5 * (3^4)^3`
`= 3^7 * 3^15 * 3^12`
`=`\(3^{7+15+12}\)
`= 3^34`
______
`36^5 \div 18^5`
`= (36 \div 18)^5`
`= 2^5 = 32`
______
`24*5^5 + 5^2*5^3`
`= 24*5^5 + 5^5`
`= 5^5*(24+1)`
`= 5^5 * 25`
`= 5^5*5^2`
`= 5^7`
______
`125^4 \div 5^8`
`= (5^3)^4 \div 5^8`
`= 5^12 \div 5^8`
`= 5^4`
_____
`@` Phép nâng lên lũy thừa: \(\left(a^m\right)^n=a^{m\cdot n}\)
`@` Chia lũy thừa cùng cơ số: \(a^m\div a^n=a^{m-n}\)
`@` Nhân lũy thừa cùng cơ số: \(a^m\cdot a^n=a^{m+n}\)
\(9^8:3^2\)
\(=\left(3^2\right)^8:3^2\)
\(=3^{16}:3^2\)
\(=3^{14}\)
=============
\(3^7\cdot27^5\cdot81^3\)
\(=3^7\cdot\left(3^3\right)^5\cdot\left(3^4\right)^3\)
\(=3^7\cdot3^{15}\cdot3^{12}\)
\(=3^{7+12+15}\)
\(=3^{34}\)
===============
\(36^5:18^5\)
\(=\left(36:18\right)^5\)
\(=2^5\)
\(=32\)
=============
\(24\cdot5^5+5^2\cdot5^3\)
\(=24\cdot5^5+5^5\)
\(=5^5\cdot\left(24+1\right)\)
\(=5^5\cdot25\)
\(=5^5\cdot5^2\)
\(=5^7\)
==============
\(125^4:5^8\)
\(=\left(5^3\right)^4:5^8\)
\(=5^{12}:5^8\)
\(=5^4\)