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\( y^{8} \)
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To simplify \( y^{3} y y^{4} \), you can combine the exponents of the same base by adding them together. Here, the exponents are \( 3, 1, \) and \( 4 \). So, \( 3 + 1 + 4 = 8 \). Thus, the simplified form is \( y^{8} \). Now, keep in mind that whenever you multiply powers with the same base, just add those exponents. It's a handy little rule in algebra that makes it super easy to work with variables!