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a)5^26=5^13.2=10^13
10^13x4^13=40^13
b)27^15=(3^3)^15+3^45
9^10=(3^2)^10=3^20
3^20x3^45=3^65
c)5^12=5^3.4=(5^4)^3=625^3
0,125^3.625^3=625,125^3
d)0,375^40=0,375^2.20=(0.375^2)^20=0,750^20
9^20:0,750^20=1.0012^20
k me
`(1 1/4)^10 . (2/5)^20`
`=(5/4)^10 . (2/5)^20`
`=(5^10 .2^20)/(4^10 .5^20)`
`=(5^10 .4^10)/(4^10 .5^20)`
`=1/(5^10)`
`=(1/5)^10`
0.2(63=0.2+0.0(63)=0.2+\(\frac{63}{10.99}\)
\(\frac{0,2\cdot990+63}{990}=\frac{2043}{990}\)tu kiem tra xem no toi gian chua
\(0,2\left(63\right)=0,2+\frac{63}{99}\cdot\frac{1}{10}=\frac{1}{5}+\frac{63}{990}=\frac{22}{110}+\frac{7}{110}=\frac{29}{110}\)
\(1,\left(5\right)=1+0,\left(5\right)=1+0,\left(1\right).5=1+\frac{1}{9}.5=\frac{9}{9}+\frac{5}{9}=\frac{14}{9}\)
\(9^{20}:\left(0,375\right)^{40}\)
\(=\left(3^2\right)^{20}:\left(\frac{3}{8}\right)^{40}\)
\(=3^{40}:\left(\frac{3}{8}\right)^{40}\)
\(=\left(3:\frac{3}{8}\right)^{40}\)
\(=8^{40}\)
\(=\left(2^3\right)^{40}\)
\(=2^{120}\)
=3^40:(0.375)^40
=(3:0.375)^40
=8^40