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\( 4 \times \) Simplify \( 8^{-5} \times 8^{3} \) \( 4 \times \quad \) A \( \frac{1}{8^{8}} \) \( 4 \times \quad \) B \( \frac{1}{8^{2}} \) \( 4 \times \quad \) D \( 8^{-15} \)

Ask by Salinas Coleman. in the United States
Mar 18,2025

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The simplified expression is \( \frac{1}{8^{2}} \), which is option B.

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Bonus Knowledge

To simplify \( 8^{-5} \times 8^{3} \), we can use the property of exponents that states \( a^m \times a^n = a^{m+n} \). Therefore, we add the exponents: \[ 8^{-5+3} = 8^{-2} \] The expression can also be rewritten as \( \frac{1}{8^2} \). So, the correct option is \( \boxed{B} \). Now, let’s have some fun digging deeper! Every time you see a negative exponent, think of it as a superhero in disguise—it might look tough, but it is just waiting to save the day by displaying its positive form through a reciprocal! Understanding exponents can open the door to more advanced math concepts such as polynomials and logarithms. Want to keep the math adventure going? Grab a book on exponents or algebra, and you'll discover all sorts of tricks and techniques to become a math wizard!

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