<img src="https://tex.z-dn.net/?f=100%5E%7Bm%7D" id="TexFormula1" title="100^{m}" alt="100^{m}" align="absmiddle" class="latex-f

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weeeeeb [17]

3 years ago

ormula">÷ $1000^{n}$ can ne written in the form $10^{z}$
Express z in terms of m and n

Mathematics

1 answer:

Ivahew [28]3 years ago

6 0

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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