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Kathryn Kingham
If the degree of −3𝑥³ is the same as that of 𝑧^𝑛, what is the value of 𝑛?
If the degree of negative three 𝑥 cubed is the same as that of 𝑧 to the 𝑛, what is the value of 𝑛?
A degree of an algebraic term is the power of the algebraic term. Our term is negative three 𝑥 cubed. The power of negative three 𝑥 cubed is three. This means that the degree of negative three 𝑥 cubed is three.
Our question tells us that the degree of negative three 𝑥 cubed is the same as that of 𝑧 to the 𝑛. This means that 𝑧 to the 𝑛 has a degree of three. We want to know what is the value of 𝑛. We know that the degree of 𝑧 to the 𝑛 is three. We also know that the degree means the power of the algebraic term.
In this case, we are taking 𝑧 to the third power — 𝑧 cubed. And we can say that 𝑛 equals three.
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