Simplify the expression (ab^3)/(a^4)b+(c^2)^3 A. (b^3c^6)/(a^3) B. (b^2c^5)/(a^3) C. I (b^2)/(a)+c D. (b^2)/(a^3)+c^5 E. (b^2)/(a^3)+c^6

To simplify the expression $\frac {ab^{3}}{a^{4}b}+(c^{2})^{3}$, we can follow these steps:<br /><br />1. Simplify the first term: $\frac {ab^{3}}{a^{4}b}$<br /> - Divide the numerator and denominator by $a$ and $b$:<br /> - $\frac {ab^{3}}{a^{4}b} = \frac {b^{3}}{a^{3}}$<br /><br />2. Simplify the second term: $(c^{2})^{3}$<br /> - Apply the power rule: $(c^{2})^{3} = c^{6}$<br /><br />3. Combine the simplified terms:<br /> - $\frac {b^{3}}{a^{3}} + c^{6}$<br /><br />Therefore, the simplified expression is $\frac {b^{3}}{a^{3}} + c^{6}$.<br /><br />The correct answer is E. $\frac {b^{2}}{a^{3}}+c^{6}$.