The solutions are;
1) m^6/2
2) a^4b^2/4
3) 27x^5y/4
4) 4x^12/9
5) 8y^9/27
6) x^4y^2/4
What does it mean to simplify?
The simplify means to write is the lowest possible form of the expression.
Let us now simplify each expression;
1) (-2m^4)^2/8m^2
4m^8/8m^2
m^6/2
2) (2a^3b^4)^3/(2ab^2)^5
2^3a^9b^12/2^5a^5b^10
a^4b^2/4
3) (3x^5y^3)^5/(6x^10y^7)^2
243x^25y^15/36x^20y^14
27x^5y/4
4) (4x^7/6x)^2
16x^14/36x^2
4x^12/9
5) (2y^5/3y^2)^3
8y^15/27y^6
8y^9/27
6) (5x^6y^2/10x^4y)^2
25x^12y^4/100x^8y^2
x^4y^2/4
Learn more about indices:https://brainly.com/question/10563917?
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