viet cac tch sau day duoi dang 1luy thuacua 1so
a,A=2.8^2.32^4.256^3
b,B=27^3.9^4.243.81^8
viet ket qua phep tinh duoi dang luy thua
a, 4^2-8^5
b, 27^3.9^4
c, 64^3.167
Giải:
a) \(4^2.8^5=\left(2^2\right)^2.\left(2^3\right)^5=2^4.2^{15}=2^{19}\)
b) \(27^3.9^4=\left(3^3\right)^3.\left(3^2\right)^4=3^9.3^8=3^{17}\)
c) \(64^3.16^7=\left(4^3\right)^3.\left(4^2\right)^7=4^9.4^{14}=4^{23}\)
viet ket qua phep tinh duoi dang luy thua
a, 4^2-8^5
b, 27^3.9^4
c, 64^3.167
để viet so 0,0(3)duoi dang phan so ta lam nhu sau:
theo cach tren hay viet cac so thap phan sau day duoi dang phan so :
0,0(8); 0,1(2); 0,1(23)
viet cac so sau duoi dang luy thua cua 1 so:
\(a)-\frac{8}{27}\)
\(b)\frac{81}{625}\)
viet cac tich sau duoi dang luy thua cua 1 so:
\(a)27.81\)
\(b)\frac{2}{5}.\frac{8}{125}.\frac{16}{625}\)
1.
a) \(-\frac{8}{27}=-\left(\frac{2}{3}\right)^3\)
b) \(\frac{81}{625}=\left(\frac{3}{5}\right)^4\)
2.
a) 27.81=2187=37
b) sai đề
viet cac tich sau duoi dang 1 luy thua
a/ -8 . -3 . +125
b/ 27 . -23 . -7 .+49
Viết các tích sau dưới dạng luỹ thừa của một số
A=8^2.32^4
B=27^3.9^4.243
\(A=8^2\cdot32^4\\ =2^6\cdot2^{20}\\ =2^{26}\\ B=27^3\cdot9^4\cdot243\\ =3^9\cdot3^{12}\cdot3^5\\ =3^{26}\)
`A=8^2*32^4=(2^3)^2*(2^5)^4=2^6*2^20=2^26`
`B=27^3*9^4*243=(3^3)^3*(3^2)^4*3^5=3^9*3^8*3^5=3^22`
\(A=8^2.32^4\)
\(=\left(2^3\right)^2.\left(2^5\right)^4\)
\(=2^6.2^{20}\)
\(=2^{26}\)
\(B=27^3.9^4.243\)
\(=\left(3^3\right)^3.\left(3^2\right)^4.3^5\)
\(=3^9.3^8.3^5\)
\(=3^{22}\)
A)viet cac so 2^27 va 3^18 duoi dang cac luy rhua co so mu la 9
B)trong hai so 2^27 va 3^18 so nao lon hon
A) 227 = ( 23 )9 = 89 ; 318 = ( 32 )9 = 99
B) Ta có : 8 < 9 => 89 < 99 => 227 < 318
viet cac tich sau duoi dang luy 1 luy thua
82.324=?
273.94.243=?
\(8^2.32^4=\left(2^3\right)^2.\left(2^5\right)^4=2^6.2^{20}=2^{26}\)
273.94.243\(=\left(3^3\right)^3.\left(3^2\right)^4.\left(3.2^3\right)^3=3^9.3^8.3^3.2^9=3^{20}.2^9\)
Viet cac tich sau duoi dang luy thua:
a) \(4^{20}\)x \(8^{10}\)
b) \(81^{10}\)x \(27^8\)
c) \(a^{12}:a^8\)
a) 420 x 810 = (42)10 x 810 = 810 x 810 = 820
b) 8110x278 = ( 34 )10 x ( 33 )10 =340 x 330= 370
c) ) a12 : a8 = a4