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Novosadov [1.4K]
3 years ago
14

Please help!!! Which expression is equivalent to (3m^-1n^2)^4/(2m^-2n)^3

Mathematics
2 answers:
Alik [6]3 years ago
8 0
<h3>The answer on edg is B!</h3>

Hope this helps!

Elza [17]3 years ago
7 0
\text{Use:}\\\\(a\cdot b)^n=a^nb^n\\\\(a^n)^m=a^{n\cdot m}\\\\\dfrac{a^n}{a^m}=a^{n-m}

\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}=\dfrac{3^4(m^{-1})^4(n^2)^4}{2^3(m^{-2})^3n^3}=\dfrac{81m^{-4}n^8}{8m^{-6}n^3}\\\\=10.125m^{-4-(-6)}n^{8-3}=10.125m^2n^5
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