Question

which expression is equivalent to \\(6^4 \cdot 6^3\\)?

\\((6 \cdot 6 \cdot 6 \cdot 6) + (6 \cdot 6 \cdot 6)\\)
\\((6 + 6 + 6 + 6) \cdot (6 + 6 + 6)\\)
\\((6 \cdot 6 \cdot 6 \cdot 6) \cdot (6 \cdot 6 \cdot 6)\\)
\\((6 \cdot 6 \cdot 6 \cdot 6 \cdot 6) \cdot (6 \cdot 6 \cdot 6 \cdot 6)\\)

Explanation:

Expand each exponential term

$$
LATEXBLOCK0
$$

Express the product of the terms

$$ 6^4 \cdot 6^3 = (6 \cdot 6 \cdot 6 \cdot 6) \cdot (6 \cdot 6 \cdot 6) $$

Answer:

• (A) \((6 \cdot 6 \cdot 6 \cdot 6) + (6 \cdot 6 \cdot 6)\)
• (B) \((6 + 6 + 6 + 6) \cdot (6 + 6 + 6)\)
• (C) \((6 \cdot 6 \cdot 6 \cdot 6) \cdot (6 \cdot 6 \cdot 6)\) (Correct answer)
• (D) \((6 \cdot 6 \cdot 6 \cdot 6 \cdot 6) \cdot (6 \cdot 6 \cdot 6 \cdot 6)\)