Question
\( 8^{2} \cdot 8^{3}= \) (A) \( 8^{5} \) (B) \( 8^{6} \) (C) \( 64^{5} \) (D) \( 64^{6} \)
Ask by Floyd Bowman. in Chile
Mar 19,2025
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Tutor-Verified Answer
Answer
La respuesta es \( 8^{5} \), opción A.
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The Deep Dive
When you multiply numbers with the same base, you can simply add their exponents. So, \( 8^2 \cdot 8^3 = 8^{2+3} = 8^5 \). Therefore, the correct answer is (A) \( 8^{5} \). In the world of exponents, this is a fundamental rule that pops up everywhere—from simple math problems to complex scientific equations. Mastering these rules can help you quickly tackle a variety of mathematical challenges and make you the star of your next math quiz!