Question

[dương trà my]

viết kết quả sau dưới dạng một lũy thừa

a, 125³ :25⁴ ; 16⁶:4^{2 ;} 27⁸:9⁴ ; 125⁵:25^{3 ;} 4¹⁴:5²⁸

^b, 12ⁿ :2^{2n ;} 64⁴.16⁵.4²⁰

Answer 1

[Tài Nguyễn Tuấn]

a) $125^3:25^4=(5^3)^3:(5^2)^4=5^9:5^8=5^1$

$16^4:4^2=(4^2)^4:4^2=4^8:4^2=4^6$

$27^8:9^4=(3^3)^8:(3^2)^4=3^{24}:3^8=3^{16}$

$125^5:25^3=(5^3)^5:(5^2)^3=5^{15}:5^6=5^9$

$4^{14}:5^{28}=(2^2)^{14}:5^{28}=2^{28}:5^{28}=(\dfrac{2}{5})^{28}$

b) $12^n:2^{2n}=12^n:(2^2)^n=12^n:4^n=3^n$

$64^4.16^5.4^{20}=(4^3)^4.(4^2)^5.4^{20}=4^{12}.4^{10}.4^{20}=4^{42}$