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