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Giải:
\(a,27^3:3^2.\)
\(=\left(3^3\right)^3:\left(3^1\right)^2.\)
\(=3^9:3^2.\)
\(=3^{9-2}=3^7.\)
Vậy.....
\(b,\left(\dfrac{3}{5}\right)^{13}:\left(\dfrac{9}{25}\right)^5.\)
\(=\left(\dfrac{3}{5}\right)^{13}:\left[\left(\dfrac{3}{5}\right)^2\right]^5.\)
\(=\left(\dfrac{3}{5}\right)^{13}:\left(\dfrac{3}{5}\right)^{10}.\)
\(=\left(\dfrac{3}{5}\right)^{13-10}.\)
\(=\left(\dfrac{3}{5}\right)^3.\)
Vậy.....
~ Hok tốt!!! ~ =))
Bài làm
a, 273 : 32
= (33)3 : 32
= 39 : 32
= 37
Vậy ....
b, \(\left(\dfrac{3}{5}\right)^{13}:\left(\dfrac{9}{25}\right)^5\)
= \(\left(\dfrac{3}{5}\right)^{13}:\left[\left(\dfrac{3}{5}\right)^2\right]^5\)
= \(\left(\dfrac{3}{5}\right)^{13}:\left(\dfrac{3}{5}\right)^{10}\)
= \(\left(\dfrac{3}{5}\right)^3\)
Vậy ...
a) \(500-\left\{5.\left[409-\left(2^3.3-21\right)^2+10^3\right]\right\}:25\)
\(=500-\left\{5.\left[409-9+1000\right]\right\}:25\)
\(=500-\left\{5.1400\right\}:25\)
\(=500-280=220\)
b) \(\left(9^3.2^{10}.27^5\right):\left(4^5.81^6\right)\)
\(=\left(3^{21}.2^{10}\right):\left(2^{10}.3^{24}\right)=3^{-3}=\frac{1}{27}\)
a) 62 . 22.5 :[3.12-(2x -6)] =23.5
36 . 4.5: [36-(2x-6)] = 8.5
720:[36-(2x-6)]= 40
36-(2x-6)= 720:40
36-(2x-6)=18
2x-6=18
2x=24
x=12
b)8x-3x=627:625+44:11
(8-3) .x=627-25+4
5x=62+4
5x=36+4
5x=40
x=8
1, \(81\cdot27^3\cdot243^5=3^4\cdot3^9\cdot3^{25}=3^{38}\)
2,\(25^4\cdot125^3\cdot625^7=5^8\cdot5^9\cdot5^{28}=5^{45}\)
3,
\(16^3\cdot8^9\cdot64^5\cdot1024=2^{12}\cdot2^{27}\cdot2^{30}\cdot2^{10}=2^{79}\)
A=8^2 . 32^4 = 64.1048576 = 67108864
B= 19683 . 6561 = 1291401163
C= 1000000 . 729 . 15625 =
D = 244140625 . 15625 . .................( Tinhs bằng máy tính).
Nếu bạn muốn nhanh hơn thì bạn có thể dùng hằng đẳng thức
A = 82 . 324 =
B= 273 . 94 . 243 =
C= 1003 . 26 . 253 =
D= 1254 . 253 . 524 = 227 373 675 ,4 21
(x+1)3 = 64
(x+1)3 = 43
=> x+1 = 4
x = 3
(x-1)2 = 25
(x-1)2 = 52
=> x - 1 = 5
x = 6
(2x+1)3 = 27
(2x+1)3 = 33
=> 2x + 1 = 3
2x = 4
x = 2
5x-1 : 5 = 53
5x-1 = 54
5x = 55
=> x = 5
tớ ghi đáp án xong cậu tự giải nha ^-^
a) x = 3
b) x = 6
c) x = 1
d) x = 5
a) 26 + 250 : 25 - 32
= 64 + 250 : 25 - 9
= 64 + 10 - 9
= 74 - 9
= 65
2023 - 252 : 53 + 27 = 2050 - 5 = 2045
\(2023-25^2\div5^3+27\)
\(=\)\(2023-625\div125+27\)
\(=\)\(2023-5+27\)
\(=\)\(2018+27\)
\(=\)\(2045\)
\(\Rightarrow\)\(2045\)