Question

question
fully simplify.
(-3x⁴y)⁴

Explanation:

Step1: Apply power of a product rule

Distribute the exponent 4 to each factor inside the parentheses:
$$(-3)^4 \cdot (x^4)^4 \cdot y^4$$

Step2: Calculate each term separately

Compute $(-3)^4 = 81$; use power rule $(a^m)^n=a^{m \cdot n}$ for $(x^4)^4$:
$$81 \cdot x^{4 \times 4} \cdot y^4$$

Step3: Simplify the exponent of x

Calculate $4 \times 4 = 16$:
$$81x^{16}y^4$$

Answer:

$81x^{16}y^4$