Answer: 1296x¹²y⁴
Step-by-step explanation:
To fully simplify the expression (-6x³y)⁴, you need to raise each term inside the parentheses to the 4th power. Here's how you do it:
(-6x³y)⁴ = (-6)⁴ * (x³)⁴ * (y)⁴
Now, calculate each part:
(-6)⁴ = 1296 (since (-6)⁴ = 6⁴, and 6⁴ = 1296)
(x³)⁴ = x^(3*4) = x¹²
(y)⁴ = y⁴
Now, multiply these results together:
1296 * x¹² * y⁴
So, the fully simplified expression is 1296x¹²y⁴.