johnsand
contestada

[tex]100^{m}[/tex]÷[tex]1000^{n}[/tex] can ne written in the form [tex]10^{z}[/tex]

Express z in terms of m and n

Respuesta :

ghanami

Answer:

Step-by-step explanation:

hello :

100^m / 1000^n

look : 100 = 10²  and 1000 = 10^3

so : 100^m = (10²)^m= 10^2m      and   1000^n = ( 10^3)^n = 10^3n

100^m / 1000^n = 10^2m / 10^3n

conclusion : 100^m / 1000^n =  (10^(2m-3n))   when : z = 2m-3n

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