Viết kết quả các phép thính sau dưới dạng lũy thừa
a/ 4 mũ 8. 8 mũ 4
b/ 5 mũ 12 .7 – 5 mũ 11 .10
c/ 2 mũ 20 . 15 + 2 mũ 10 . 85
d/27 mũ 16 : 9 mũ 10
e/ 125 ³ : 25 mũ 4
f/ 24 mũ 4 : 3 mũ 4 – 32 mũ 12 : 16 mũ 12
Viết kết quả các phép thính sau dưới dạng lũy thừa a/ 4 mũ 8. 8 mũ 4 b/ 5 mũ 12 .7 – 5 mũ 11 .10 c/ 2 mũ 20 . 15 + 2 mũ 10 . 85 d/27 mũ 16 : 9 mũ 10 e
By Camila
`a) 4^8 . 8^4`
`=(2^2 )^8 . (2^3 ^4`
`=2^16 . 2^12`
`=2^(16+12)`
`=2^28 `
`b) , $5^{12}$ . `7` `-` $5^{11}$ . `10`
`=` $5^{11}$ . $5^{1}$ . `7` `-` $5^{11}$ . `10`
`=` $5^{11}$ . `35“-` $5^{11}$ . `10`
`=` $5^{11}$ ( `35-10` )
`=5^11 . 25`
`=5^11 . 5^2`
`=5^13`
`c) 2^20. 15+2^10. 85`
`=2^10. 2^10. 3. 5+2^10. 5. 17`
`=2^10.5(2^10 .3 + 17)`
`….`
`d) 27^16 : 9^10 `
`= ( 3^3 )^16 : (3^2 )^10 `
`= 3^48 : 3^20 `
`= 3^28`
`e ) 125^3 : 25^4`
`=( 5^3 )^3 : ( 5^2 )^4 `
`= 5^9 : 5^8`
`=5`
`f) 24^4 : 3^4 – 32^12 : 16^12`
`= (24:3)^4 – (32:16)^12`
`= 8^4 – 2^12`
`=( 2^3 )^4 – 2^12`
`=2^12 – 2^12`
`= 0`
`a` , $4^{8}$ . $8^{4}$
`=` ( $2^{2}$ )$^{8}$ . ( $2^{3}$ )$^{4}$
`=` $2^{16}$ . $2^{12}$
`=` $2^{16+12}$
`=` $2^{28}$
`b` , $5^{12}$ . `7` `-` $5^{11}$ . `10`
`=` $5^{11}$ . $5^{1}$ . `7` `-` $5^{11}$ . `10`
`=` $5^{11}$ . `35“-` $5^{11}$ . `10`
`=` $5^{11}$ ( `35-10` )
`=` $5^{11}$ . `25`
`=` $5^{11}$ . $5^{2}$
`=` $5^{13}$
$c)2^{20}.15+2^{10}.85$
`=` $2^{10}$ . $2^{10}$ . `15` `+` $2^{10}$ . `85`
$=2^{10}(2^{10}.15+85)$
$=1024(15360+85)$
$=1024.15445$
$=15815680$
`=` $2^{10}$ . `5` . `3089`
`d` , $27^{16}$ : $9^{10}$ `=` ( $3^{3}$ ) $^{16}$ : ( $3^{2}$ ) $^{10}$ `=` $3^{48}$ : $3^{20}$ `=` $3^{28}$
`e` , $125^{3}$ : $25^{4}$ `=` ( $5^{3}$ )$^{3}$ : ( $5^{2}$ ) $^{4}$ `=` $5^{9}$ : $5^{8}$ `=` `5`
`f` , $24^{4}$ : $3^{4}$ `-` $32^{12}$ : $16^{12}$
`=` $(24:3)^{4}$ `-` $(32:16)^{12}$
`=` $8^{4}$ `-` $2^{12}$
`=`( $2^{3}$ )$^{4}$ `-` $2^{12}$
`=` $2^{12}$ `-` $2^{12}$
`=` `0`