27*75+25*27-5^2*6
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\(27\times75+27\times25-5^2\cdot6\)
\(=27\cdot75+25\times27-25\times6\)
\(=27\times\left(75+25\right)-150\)
\(=27\times100-150\)
\(=2700-150\)
\(=2550\)
\(\dfrac{45^{10}\cdot5^{20}}{75^{15}}=\dfrac{\left(3^2\cdot5\right)^{10}\cdot5^{20}}{\left(3\cdot5^2\right)^{15}}=\dfrac{3^{20}\cdot5^{10}\cdot5^{20}}{3^{15}\cdot5^{30}}=3^5=243\\ \dfrac{6^6+6^3+3^3+3^6}{-73}=\dfrac{46656+216+27+729}{-73}=-\dfrac{47628}{73}\\ \dfrac{27^7+3^{15}}{9^9-27}=\dfrac{\left(3^3\right)^7+3^{15}}{\left(3^2\right)^9-3^3}=\dfrac{3^{21}+3^{15}}{3^{18}-3^3}=\dfrac{3^{15}\left(3^6+1\right)}{3^3\left(3^{15}-1\right)}=\dfrac{3^5\cdot730}{3^{15}-1}\\ \dfrac{8^{20}+4^{20}}{4^{25}+64^5}=\dfrac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}=\dfrac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}=2^{10}=1024\)
Tham khảo :
(Tại mik lười ko mún ghi nên bạn tham khảo cái ảnh này nhá)
\(a,\frac{2}{3};\frac{25}{35};\frac{6}{7};\frac{8}{3};\frac{27}{5}\)
\(b,\frac{2}{9};\frac{13}{27};\frac{45}{75};\frac{21}{28};\frac{6}{5}\)
~~ học tốt nha ~~~
27 . 75 + 25 . 27 - 150
= 27.(75+25)-150
= 27.100-150
= 2700 - 150
= 2550
20 - [ 30 - ( 5 - 1 )2 ]
= 20 -[30-42 ]
= 20 - ( 14 )
= 6
a) 15 . (27 + 18 + 6 ) + 15 . ( 23 +12 ) = 15. 51 + 15 . 35 = 765 + 525 = 1290
b) 14 . 35 . 5 + 10 . 25 . 7 + 20 . 70 = 2450 + 1750 + 1400 = 2452450
c) 53 . ( 51 + 4 ) + 53 . ( 49 + 96 ) + 53 = 53 . 55 + 53 . 145 + 53 = 2915 . 7685 = 22401775
d) 46 . ( 27 +75 ) +8 . ( 58 + 25 ) + 8 . ( 58 + 25 ) . 2 = 46 . 102 + 8 . 83 + 8 . 83 = 4692 + 664 + 664 = 6020
a) \(27\cdot75+25\cdot27-150\cdot2023^0\)
\(=27\cdot\left(75+25\right)-150\cdot1\)
\(=27\cdot100-150\)
\(=2700-150\)
\(=2550\)
b) \(3^x+3^{x+1}+16\cdot4=2^2\cdot5^2\)
\(\Rightarrow3^x+3^x\cdot3=100-64\)
\(\Rightarrow3^x\cdot\left(1+3\right)=36\)
\(\Rightarrow3^x\cdot4=36\)
\(\Rightarrow3^x=36:4\)
\(\Rightarrow3^x=9\)
\(\Rightarrow3^x=3^2\)
\(\Rightarrow x=2\)
a) 27.75 + 25.27 - 150.2023⁰
= 27.(75 + 25) - 150.1
= 27.100 - 150
= 2700 - 150
= 2550
b) 3ˣ + 3ˣ⁺¹ + 16.4 = 2².5²
3ˣ.(1 + 3) + 64 = 4.25
3ˣ.4 + 64 = 100
3ˣ.4 = 100 - 64
3ˣ.4 = 36
3ˣ = 36 : 4
3ˣ = 9
3ˣ = 3²
x = 2
27*75+25*27-5^2*6
=27*25*3+25*27-25*6
=25*(27*3+27-6)
=25*102
=2550
27 x 75 + 25 x 27 - 52 x 6
= 27 x 3 x 25 + 25 x 27 - 25 x 6
= 81 x 25 + 25 x 27 - 25 x 6
= 25 x ( 81 + 27 - 6 )
= 25 x 102
= 2550
# HOK TỐT #