\(\dfrac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
=\(\dfrac{\left(4^2\right)^3.3^{10}+120.1}{4^6.3^{12}+6^{11-9}}\)
=\(\dfrac{4^{2.3}.1+120}{4^6.3^{12-10}+6^2}\)
=\(\dfrac{4^6+120}{4^6.3^2+6^2}\)
=\(\dfrac{4096+120}{4096.9+36}\)
=\(\dfrac{4216}{36864+36}\)
=\(\dfrac{4216}{36900}=\dfrac{2063}{18450}\)
a, B=\(\dfrac{2^{10}.13+2^{10}.65}{2^8.104}\) b, C=\(\dfrac{4^9.36+64^9}{16^4.100}\)
c, D=\(\dfrac{72^3.54^2}{108^4}\) d, E=\(\dfrac{4^6.3^4.9^5}{6^{12}}\)
Tính: \(\dfrac{2^{19}\cdot27^3-15\cdot\left(-4\right)^9\cdot9^4}{6^9\cdot2^{10}+\left(-12\right)^{10}}\)
Tính
a)\(\left(5^{-5}\right)^{-1}.\left(\dfrac{1}{2}\right)^{-2}.\dfrac{1}{10^5}\)
b) \(\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
c) \(\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
a)\(\frac{45^{10}.5^{10}}{75^{10}}\)
b)\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
c)\(\frac{4^{20}-2^{20}+6^{20}}{6^{20}-3^{20}+9^{20}}\)
d) \(\frac{14^{16}.21^{32}.45^{48}}{10^{16}.15^{32}.7^{96}}\)
BÀI 2 TÍNH :
A = \(\dfrac{6^3+3.6^2+3^3}{13}\)
B = \(\dfrac{4^6.9^5+6^9.120}{8^4-3^{12}.6^{11}}\)
Câu 2: Tính
C = \(\dfrac{6^3+3.6^2+3^3}{13}\)
D = \(\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
\(\dfrac{4^6.9^5+6^9.120}{-8^4.3^{12}-6^{11}}\)
a) \(\dfrac{5^5}{5^x}=5^{18}\)
b) \(\dfrac{2^{4-x}}{16^5}=32^6\)
c) \(\dfrac{2^{2x-3}}{4^{10}}=8^3.16^5\)
d) \(\dfrac{2^3}{2^x}=4^5\)
e) \(9.5^x=6.5^6+3.5^6\)
f) \(7.2^x=2^9+5.2^8\)
Tính:
\(\dfrac{2.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
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