The expression (3a^2 b^3 c^2)^2(2a^2 b^5 c^5)^3 equals na^rb^sc^t where n, the leading coefficient,

Question

The expression (3a^2 b^3 c^2)^2(2a^2 b^5 c^5)^3            equals na^rb^sc^t

where n, the leading coefficient, is:? and r, the exponent of a, is:? and s, the exponent of b, is:? and finally t, the exponent of c, is:?

[NOTE: Your answers cannot be algebraic expressions.]

Answer 1

(3a²b³c²)²(2a²b⁵c⁵)³              Given

3²a²⁽²⁾b³⁽²⁾c²⁽²⁾[2³a²⁽³⁾b⁵⁽³⁾c⁵⁽³⁾]

9a⁴b⁶c⁴[8a⁶b¹⁵c¹⁵]

9(8)a⁴⁺⁶b⁶⁺¹⁵c⁴⁺¹⁵

72a¹⁰b²¹c¹⁹

n = 72

r = 10

s = 21

t = 19