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\(a,10^8.2^8=\left(10.2\right)^8=20^8\)
\(b,10^8:2^8=\left(10:2\right)^8=5^8\)
\(c,25^4.2^8=25^4.\left(2^2\right)^4=25^4.4^4=\left(25.4\right)^4=100^4\)
\(d,15^8.9^4=15^8.\left(3^2\right)^4=15^8.3^8=\left(15.3\right)^8=45^8\)
\(e,27^2.25^3=\left(3^3\right)^2.\left(5^2\right)^3=3^6.5^6=\left(3.5\right)^6=15^6\)
a, 108 . 28
= ( 10 . 2 ) 8
= 208
b, 108 : 28
= ( 10 : 2 )8
= 58
c, 254 . 28
= ( 52 )4 . 28
= 58 . 28
= ( 5 . 2 ) 8
= 108
d, 158 . 94
= 158 . ( 32 )4
= 158 . 38
= ( 15 . 3 ) 8
= 458
e, 272 . 253
= ( 33 )2 . ( 52 ) 3
= 36 . 56
= ( 3 . 5 ) 6
= 15 6
\(a,20^8.4^8=\left(20.4\right)^8=80^8\)
\(b,10^6:2^6=\left(10:2\right)^6=5^6\)
\(c,5^4.2^8=5^4.\left(2^2\right)^4=5^4.4^4=\left(5.4\right)^4=20^4\)
\(d,7^8.9^4=7^8.\left(3^2\right)^4=7^8.3^8=\left(7.3\right)^8=21^8\)
\(e,27^4:25^6=\left(3^3\right)^4:\left(5^2\right)^6=3^{12}:5^{12}=\left(3:5\right)^{12}=\left(\frac{3}{5}\right)^{12}\)
a) 108.28=(10.2)8=208
b)108:28=(10:2)8=58
c)254.28=(52)4.28=58.28=(5.2)8=108
d)158.94=158.(32)4=158.38=(15.3)8=458
e)272:253=(33)2:(52)3=36:56=(3:5)6=\(\left(\frac{3}{5}\right)^6\)
tick nha:
a) (0,2)\(^8\) : (0,2)\(^{^{ }5}\) = (0,2)\(^3\)
b) \(\frac{6^{10}}{3^{10}}\) = 2\(^{10}\)
c) (0,5\(^2\))\(^3\) =(0,5)\(^6\)
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 = \(\left(\frac{3}{-7}\right)^{15}\)
a) =(10x2)^8=20^8
b) =(10:2)^8=5^8
c) =(5^2)^4x2^8=5^8x2^8=(5x2)^8=10^8
d) =15^8x(3^2)^4=15^8x3^8=(15x3)^8=45^8
e) =(3^3)^2:(5^2)^3=3^6:5^6=(3:5)^6=(3/5)^6
a, 108 . 28 = ( 2.5 )8 . 28
= 28 . 58 .28
= 216 . 58
b, 272 : 253 = ( 33 )2 : ( 52 )3
= 36 : 56
Bài làm
a) 272 : 253 =