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a. \( 5^{3} \)

Ask by Wood Norris. in the United States
Mar 10,2025

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Answer

\(5^3 = 125\).

Solution

1. Write the expression as a multiplication of factors: \[ 5^3 = 5 \times 5 \times 5 \] 2. Multiply the first two factors: \[ 5 \times 5 = 25 \] 3. Multiply the result by the remaining factor: \[ 25 \times 5 = 125 \] Thus, the final answer is: \[ 5^3 = 125 \]

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Bonus Knowledge

Did you know that \( 5^{3} \) means you multiply the number 5 by itself three times? So, it's like saying \( 5 \times 5 \times 5 \), which equals 125! This fun little fact highlights how exponents work as a shortcut for repeated multiplication. In the real world, exponents pop up everywhere, especially in fields like finance and science! For instance, if you're calculating compound interest or the growth of populations, you'll use powers to represent growth over time. Understanding \( 5^{3} \) helps you grasp these larger concepts with ease!

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