Question

Simplify, and evaluate where possible, the following expression: (-3x^3)^4

Answer 1

When raising a negative number to an even power, the result will always be positive.

(-3x^3)^4 = (3x^3)^4
= 3^4 * (x^3)^4 = 81x^12

Therefore, (-3x^3)^4 simplifies to 81x^12.