Respuesta :

The expression that is equivalent to the expression, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is the expression, [tex]64m^9n^3[/tex].

What are Equivalent Expressions?

If two expressions are equivalent to each other, it means the value of each of them are the same when simplified or evaluated in their simplest form.

Given the expression,

[tex](\frac{4m^5n^2}{m^2n} )^3[/tex]

Evaluate the expression in its simplest form

[tex](\frac{4m^5n^2}{m^2n} )^3 = (4m^3n^1)^3[/tex]

Multiply the exponents in the bracket by the one outside, then find the cube of 4.

[tex]64m^9n^3[/tex]

Therefore, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is equivalent to [tex]64m^9n^3[/tex].

Learn more about equivalent expressions on:

https://brainly.com/question/22365614

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