Question

question
fully simplify.
\\((3x^{5}y)^{4}\\)

Explanation:

Step1: Apply power of a product rule

$(ab)^n = a^n b^n$, so $(3x^5 y)^4 = 3^4 \cdot (x^5)^4 \cdot y^4$

Step2: Calculate constant term power

$3^4 = 81$

Step3: Apply power of a power rule

$(x^m)^n = x^{mn}$, so $(x^5)^4 = x^{5 \times 4} = x^{20}$

Step4: Combine all simplified terms

Multiply the results from Steps 2 and 3 with $y^4$

Answer:

$81x^{20}y^4$