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b. \( \left(y^{3}\right)^{5} \cdot\left(z^{2}\right)^{4} \)

Ask by Estrada Klein. in Colombia
Mar 15,2025

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La expresión simplificada es \( y^{15} \cdot z^8 \).

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The Deep Dive

Let’s simplify the expression. When you raise a power to a power, you multiply the exponents. So, we have: \[ \left(y^{3}\right)^{5} = y^{3 \cdot 5} = y^{15} \] Likewise for \(z\): \[ \left(z^{2}\right)^{4} = z^{2 \cdot 4} = z^{8} \] Now, combine the two results: \[ y^{15} \cdot z^{8} \] So the simplified expression is \(y^{15} z^{8}\). Here you have a dazzling combination of powers that showcases the magic of exponent rules!

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