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Anarel [89]
4 years ago
15

Simplify completely 4 m cubed over 3 m squared n times 9 n squared over 30 m squared n squared.

Mathematics
2 answers:
V125BC [204]4 years ago
5 0

Answer: Our simplified form will be

\frac{2}{5mn}

Step-by-step explanation:

Since we have given that

4 m cubed over 3 m squared n times 9 n squared over 30 m squared n squared.

\frac{4m^3}{3m^2n}\times \frac{9n^2}{30m^2n^2}\\\\\text{we will use }a^m\times b^n=a^{m+n}\\\\=\frac{4m}{3n}\times \frac{3}{10m^2}\\\\=\frac{2}{5mn}

Hence, our simplified form will be

\frac{2}{5mn}

astra-53 [7]4 years ago
3 0
\frac{4 m^{3} }{3 m^{2}n }  \times  \frac{9 n^{2} }{30 m^{2}  n^{2} }  \\ = \frac{36}{90}  \times  \frac{m^{3 }}{m^{4}} \times  \frac{n^{2}}{n^{3}}  \\ = \frac{2}{5mn}
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