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].
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:
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