Simplify. Express your answer using positive exponents. 5n^6 · 3n · 7n

To simplify the expression (5n^6 cdot 3n cdot 7n), follow these steps:

1. Multiply the coefficients: The coefficients are 5, 3, and 7. So, (5 cdot 3 cdot 7 = 105).

2. Combine the exponents of (n): Since you’re multiplying (n) terms, you add their exponents:

– (n^6 cdot n^1 cdot n^1 = n^{6 + 1 + 1} = n^8).

3. Combine the results: So, the simplified expression becomes (105n^8).

The final answer is (105n^8). This expression is already in positive exponents.

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