Find \(a, b, c\) if \(49392 = a^4 b^2 c^3\)
Solution
\[ 49392 = 2^5 \times 3^2 \times 7^3 \]
\[ = (2)^5 (3)^2 (7)^3 \]
\[ \text{Compare with } a^4 b^2 c^3 \]
\[ a = 2,\quad b = 3,\quad c = 7 \]
Final Answer:
\[ \boxed{a=2,\; b=3,\; c=7} \]
\[ 49392 = 2^5 \times 3^2 \times 7^3 \]
\[ = (2)^5 (3)^2 (7)^3 \]
\[ \text{Compare with } a^4 b^2 c^3 \]
\[ a = 2,\quad b = 3,\quad c = 7 \]
\[ \boxed{a=2,\; b=3,\; c=7} \]