\( 27 y \) and \( 54 y^{3} \)
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The Deep Dive
Did you know that the numbers 27 and 54 are both powers of 3? Specifically, \( 27 = 3^3 \) and \( 54 = 2 \cdot 3^3 \). This means you can factor the expressions involving \( y \) in terms of powers of 3, which can help simplify equations involving these terms! Now, when you're working with expressions like \( 27y \) and \( 54y^3 \), it's essential to keep an eye on common factors. The greatest common factor (GCF) here is \( 27y \). This means you could simplify or factor out \( 27y \) from these expressions to make further calculations easier—just a great tip to keep your math neat and tidy!