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45^10*5^20/75^15
=5^10*9^10*5^20/(5^2)^15
=5^10*5^20*9^10/5^30
=9^10
(0.8)^5/(0.4)^6
=(0.4)^5*2^5/(0.4)^6
=2^5/(0.4)
=32/(0.4)
=80
2^15*9^4/6^6*8^3
=2^15*(3^2)^4/2^6*3^6*(2^3)^3
=2^15*3^8/2^6*3^6*2^9
=3^2
=9
Ta có:
a) \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(5.3^2\right)^{10}.5^{20}}{\left(5^2.3\right)^{15}}=\frac{5^{10}.3^{20}.5^{20}}{5^{30}.3^{15}}=\frac{5^{30}.3^{20}}{5^{30}.3^{15}}=3^5=243\)
b) \(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,2.2^2\right)^5}{\left(0,2.2\right)^6}=\frac{\left(0,2\right)^5.2^{10}}{\left(0,2\right)^6.2^6}=\frac{2^4}{0,2}=\frac{16}{0,2}=80\)
c) \(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=\frac{2^{15}.3^8}{2^{15}.3^6}=3^2=9\)
b) \(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
\(=\dfrac{\left(0,8\right)^5}{\left(0.4\right)^5\cdot0,4}\)
\(=\left(\dfrac{0,8}{0,4}\right)^5\cdot\dfrac{1}{0,4}\)
\(=2^5\cdot\dfrac{5}{2}\)
\(=\dfrac{2^5\cdot5}{2}\)
\(=2^4\cdot5\)
\(=80\)
c) \(\dfrac{2^{15}\cdot9^4}{6^6\cdot8^3}\)
\(=\dfrac{2^{15}\cdot\left(3^2\right)^4}{2^6\cdot3^6\cdot\left(2^3\right)^3}\)
\(=\dfrac{2^{15}\cdot3^8}{2^{15}\cdot3^6}\)
\(=\dfrac{3^2}{1}\)
\(=9\)
a) 158 x 94
= 158 x ( 32 )4
= 158 x 38
= ( 15 x 3 )8 = 458
b) 49 : 527
= 49 : ( 53 ) 9
= 49 : 1259
= \(\left(\frac{4}{125}\right)^9\)
c) 2010 : 220
= 2010 : ( 22 )10
= 2010 : 410 = ( 20 : 4 ) 10 = 510
d) 275 : ( -7 ) 15
= 275 : [ ( - 7 )3 ]5
= 275 : ( - 21 )5
= \(\left(\frac{27}{-21}\right)^5=\left(\frac{9}{-7}\right)^5\)
Cbht
\(\dfrac{2^7\cdot9^3}{6^5\cdot8^2}=\dfrac{2^7\cdot3^6}{3^5\cdot2^5\cdot2^6}=\dfrac{3}{2^3}=\dfrac{3}{8}\)
a)\(\dfrac{45^{10}.5^{20}}{75^{15}}=\dfrac{5^{10}.3^{20}.5^{20}}{3^{15}.5^{30}}=\dfrac{5^{30}.3^{20}}{3^{15}.5^{30}}=3^5\)
Các câu sau tương tự
a) 45^10.5^20/75 ^ 15
=(5.9)^10.5^20/(5.15)^15
=5^10.9^10.5^20/5^15.15^15
=5^30.3^20/5^15.3^15.5^15
=5^30.3^20/5^30.3^15
=5^30.3^20/5^30.3^15
=3^5
=243