simplify.\n$(3x)^4$\nwrite your answer without parentheses.
simplify.\n$(3x)^4$\nwrite your answer without parentheses.
Answer
Explanation:
Step1: Apply the power of a product rule
The power of a product rule states that ((ab)^n = a^n b^n). For ((3x)^4), we can apply this rule where (a = 3), (b = x), and (n = 4). So we get (3^4\times x^4).
Step2: Calculate (3^4)
(3^4=3\times3\times3\times3 = 81).
Step3: Combine the results
Substituting the value of (3^4) back, we have (81\times x^4=81x^4).
Answer:
(81x^4)