Which expression is equivalent to

Question

(a^4bc^6)^3

Answer 1

(a^4bc^6)^3 can be simplified by raising each term inside the parentheses to the 3rd power:

(a^4)^3 * (b^1)^3 * (c^6)^3

Simplifying further:

a^(4 * 3) * b^(1 * 3) * c^(6 * 3)

a^12 * b^3 * c^18

Therefore, the expression is equivalent to a^12b^3c^18.