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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Understand the Problem
The problem asks us to evaluate the expression $$(3x)^{5}
Step 3:: Expand the Expression
\begin{aligned}
When raising a term in parentheses to a power, we multiply the base term by itself the number of times specified by the exponent. (3x)^{5} &= (3x) \times (3x) \times (3x) \times (3x) \times (3x) \ &= 3^{5} \times x^{5} \ &= 243x^{5} \end{aligned}
Step 4:: Break Down the Calculation
- $$3^{5} = 3 \times 3 \times 3 \times 3 \times 3 = 243
- x^{5} = x \times x \times x \times x \times x
Final Answer
243x^{5}
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