Final answer:
To write the rational expression (2)/(3(m+4)) as an equivalent expression with a denominator of 27(m+4), multiply the numerator by 27 and the denominator by 9.
Step-by-step explanation:
To write the rational expression (2)/(3(m+4)) as an equivalent expression with a denominator of 27(m+4), we need to multiply the numerator and denominator of the original expression by the same factor.
Multiplying the numerator by 27 gives us 2 * 27 = 54, and multiplying the denominator by 9 gives us 3 * 9 = 27.
So, the equivalent expression is (54)/(27(m+4)).