36 mũ 10 . 14 . 126 / 35 mũ 5 . 6 ; 21 mũ 2 . 14 .126 / 35 mũ 5 .6 ; 4 mũ 9 . 36 + 64 mũ 4 / 100 . 16 mũ 4
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\(\dfrac{4^9\cdot36+64^4}{100\cdot16^4}=\dfrac{2^{20}\cdot3^2+2^{24}}{2^{18}\cdot5^2}=\dfrac{2^{20}\left(3^2+2^4\right)}{2^{18}\cdot5^2}=4\)
\(D=\dfrac{21^2.14^{126}}{126^{35}.5^6}=\dfrac{7^2.3^2.14^{126}}{14^{35}.9^{35}.5^6}=\dfrac{7^2.3^2.14^{91}}{3^{70}.5^6}\)
\(D=\dfrac{7^2.7^{91}.2^{91}}{3^{68}.5^6}=\dfrac{7^{93}.2^{91}}{3^{68}.5^6}\)
a) \(9^{21}.9^{33}=9^{21+33}=9^{54}\)
b) \(19^{11}.19.19=19^{11+1+1}=19^{13}\)
c) \(25^2.5^2.125=5^4.5^2.5^3=5^{4+2+3}=5^9\)
d) \(t^{2021}.t^2.\left(t^2\right)^2=t^{2021}.t^2.t^4=t^{2021+2+4}=t^{2027}\)
e) \(123^{14}:123^{13}=123^{14-13}=123\)
f) \(64^2:8^3=\left(8^2\right)^2:8^3=8^4:8^3=8^{4-3}=8=2^3\)
g) \(6^{10}:6^3:36=6^{10}:6^3:6^2=6^{10-3-2}=6^5\)
h) \(m^{20}:m^{10}.m^{10}=m^{20-10+10}=m^{20}\)
Thế này à:
a, \(\frac{2^{13}+25}{2^{10}}\)
b, \(\frac{21^2.14.125}{35^5.6}\)
c,\(\frac{45^3.20^4.18^2}{180^5}\)
d, \(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
2 mũ 13 ta chia cho 2 mũ 10 ta có là 2 mũ 3 chuyển thành 8 rồi cộng cho 25 ta có là 33
\(27\cdot36+73\cdot99+27\cdot14-49\cdot7\)
\(=27\cdot\left(36+14\right)+73\cdot99-49\cdot7\)
\(=27\cdot50+6884=1350+6884=8234\)
\(\dfrac{5^6}{5^4}+2^3\cdot2^2-1^{2017}\)
\(=5^2+2^5-1\)
=25+32-1
=25+31
=56
dai the giai bao gio xong chac mua quyt nam sau moi giai xong
- 22.32.5:22.3-32=3.5-32=15-9=6
- 2.52-22.32:32=2.(52-2)=2.(25-2)=46
3. 33.19-33.12=33.(19-12)=33.7=189
4. 3.52-16:22=3.52-24:22=3.25-4=75-4=71
2^(10 : 64 x 16) = 2^[(10 x 16) : 64] = 2^(160 : 64) = 2^25
2^(10 x 8) = 2^80 3^(5 : 27) = 3^(5/27) 5^(2 x 125) = 5^250 6^(6 : 36) = 6^(1/6)