Question

Simplify (a5b2c5)(ac2). A. a4c10 B. a6b2c10 C. a6b2c7 D. a5b2c7

Answer 1

Answer is C.

Explanation:

`( {a}^(5) {b}^(2) {c}^(5) )( {ac}^(2) )`

form brackets of common terms:

`= ( {a}^(5) .a)( {b}^(2) )( {c}^(5) . {c}^(2) )`

from law of indices:

`{ \boxed{ \bf{ {x}^(n) * {x}^(m) = {x}^((n + m)) }}}`

therefore:

`= \{ {a}^((5 + 1)) \} \{ {b}^(2) \} \{ {c}^((5 + 2)) \} \\ = {a}^(6) {b}^(2) {c}^(7)`