Question

need help solving the square root of (a^4b^3c^4) times the cube root of (ab^2c).

Answer 1

\[a^4b^3c^4 . (a .b^2c)^{1/3}=a^4b^3c^4. (a^{1 \over 3} b^{2\over 3} c^{1 \over 3})=a^{4+1/3}b^{3+2/3}c^{4+1/3}\]

Answer 2

\[=a^{13 \over 3} . b^{14 \over 3} . c^{13 \over 3}= (a^{13} . b^{14} c^{13})^{1/3}\]