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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
a) 158.94 = 158.(32)4 = 158.38 = (15.3)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 = (33)5 : (-7)15 = 315 : (-7)15 = \(\left(\frac{3}{-7}\right)^{15}\)
Đáp án: thiếu đề
@#@
mời bn xem xét lại đề bài.
~hok tốt~
\(a,20^8.4^8=\left(20.4\right)^8=80^8\)
\(b,10^6:2^6=\left(10:2\right)^6=5^6\)
\(c,5^4.2^8=5^4.\left(2^2\right)^4=5^4.4^4=\left(5.4\right)^4=20^4\)
\(d,7^8.9^4=7^8.\left(3^2\right)^4=7^8.3^8=\left(7.3\right)^8=21^8\)
\(e,27^4:25^6=\left(3^3\right)^4:\left(5^2\right)^6=3^{12}:5^{12}=\left(3:5\right)^{12}=\left(\frac{3}{5}\right)^{12}\)
\(\frac{8^{11}.3^{17}}{27^{10}.9^{15}}=\frac{8^{11}.3^{17}}{3^{30}.3^{30}}=\frac{8^{11}}{3^{13}.3^{30}}=\frac{8^{11}}{3^{43}}\)
\(\frac{\left(5^4-5^3\right)^3}{125^4}=\frac{[\left(5-1\right).5^3]^3}{5^{12}}=\frac{\left(4.5^3\right)^3}{5^{12}}=\frac{64.5^9}{5^{12}}=\frac{64}{5^3}=\left(\frac{4}{5}\right)^3\)
\(\frac{4^{20}-2^{20}+6^{20}}{6^{20}-3^{20}+9^{20}}=\frac{2^{40}-2^{20}+6^{20}}{6^{20}-3^{20}+3^{40}}=\frac{2^{20}.\left(2^{20}-1+3^{30}\right)}{3^{20}.\left(2^{20}-2+3^{20}\right)}=\frac{2^{20}}{3^{20}}=\left(\frac{2}{3}\right)^{20}\)