viết kết quả các phép tính sau dưới dạng lũy thừa
a).9^2.3^5 d). 2^5.4^2.16
b).9^2.27.3 e).5^5.25^2.125
c).7^4.343.49^2 f).100^2.10^5.1000
viết kết quả các phép tính sau dưới dạng lũy thừa
a).9^2.3^5 d). 2^5.4^2.16
b).9^2.27.3 e).5^5.25^2.125
c).7^4.343.49^2 f).100^2.10^5.1000
a,$9².3^5$
=$(3²)².3^5$
=$3^4.3^5$
=$3^9$
b,$9².27.3$
=$(3²)².3³.3$
=$3^4.3³.3$
=$3^8$
c,$7^4.343.49²$
=$7^4.7³.(7²)²$
=$7^4.7³.7^4$
=$7^{11}$
d,$2^5.4^2.16$
=$2^5.(2²)².2^4$
=$2^5.2^4.2^4$
=$2^{13}$
e,$5^5.25^2.125$
=$5^5.(5²)².5³$
=$5^5.5^4.5^3$
=$5^{12}$
f)$100².10^5.1000$
=$(10²)².10^5.10³$
=$10^4.10^5.10^3$
=$10^{12}$
Đáp án:
a) `9^2 . 3^5`
`= 3^4 . 3^5`
`= 3^{4+5} = 3^9`
b) `9^2.27.3`
`= 3^4 . 3^3 . 3`
`= 3^{4+3+1} `
`= 3^8`
c) `7^4.343.49^2`
`= 7^4 . 7^3 . 7^4`
`= 7^{4+3+4}`
`=7^11`
d)` 2^5 . 4^2 . 16 `
`= 2^5 . 2^4 . 2^4`
`= 2^{5+4+4}`
`= 2^13`
e) `5^5 . 25^2 . 125 `
`= 5^5 . 5^4 . 5^3`
`= 5^{5+4+3}`
`= 5^12`
f)`100^2 . 10^5 . 1000`
`= 10^4 . 10^5 . 10^3`
`= 10^{4+5+3}`
`=10^12`