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16 votes
2
4m3
-)
2m
)
V
Solve

2 4m3 -) 2m ) V Solve-example-1
User Vazid
by
7.4k points

1 Answer

9 votes

Answer:

8m^21/y^3

Explanation:

The relevant rules of exponents are ...

(a^b)/(a^c) = a^(b-c)

(a^b)^c = a^(bc)

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There is nothing here to solve. The expression can be simplified as follows:


\left((4m^3y)/(2m^(-4)y^3)\right)^3=\left(2(m^(3-(-4)))/(y^(3-1))\right)^3=\left((2m^7)/(y^2)\right)^3 =\boxed{ (8m^(21))/(y^6)}

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Additional comment

We cannot tell if your variable is v or y. We have assumed y. If it is v, you can make the necessary replacement.

User Oroku
by
7.2k points