Grant Blake
10/16/2023 · Middle School

6. vscribe, si se puede, en forma de potencia los siguientes prociuctos y calcula su \( \begin{array}{lll}\text { a) } 10 \cdot 10 \cdot 10= & \text { b) } 6 \cdot 6 \cdot 5 \cdot 6 \cdot 6= & \text { c) } 7 \cdot 7 \cdot 7 \cdot 7= \\ \text { d) } 5 \cdot 5 \cdot 4= & \text { e) } 5 \cdot 5 \cdot 3 \cdot 3= & \text { 1) } 1 \cdot 4 \cdot 4=\end{array} \)

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Para expresar los productos en forma de potencia, utilizamos la regla de la potencia de multiplicación, que establece que \(a \cdot a \cdot a = a^3\). a) \(10 \cdot 10 \cdot 10 = 10^3\) b) \(6 \cdot 6 \cdot 5 \cdot 6 \cdot 6 = 6^3 \cdot 5 \cdot 6^2\) c) \(7 \cdot 7 \cdot 7 \cdot 7 = 7^4\) d) \(5 \cdot 5 \cdot 4 = 5^2 \cdot 4\) e) \(5 \cdot 5 \cdot 3 \cdot 3 = 5^2 \cdot 3^2\) f) \(1 \cdot 4 \cdot 4 = 4^2\)

Quick Answer

a) \(10 \cdot 10 \cdot 10 = 10^3\) b) \(6 \cdot 6 \cdot 5 \cdot 6 \cdot 6 = 6^3 \cdot 5 \cdot 6^2\) c) \(7 \cdot 7 \cdot 7 \cdot 7 = 7^4\) d) \(5 \cdot 5 \cdot 4 = 5^2 \cdot 4\) e) \(5 \cdot 5 \cdot 3 \cdot 3 = 5^2 \cdot 3^2\) f) \(1 \cdot 4 \cdot 4 = 4^2\)
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