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Simplify to a single power of 3 : \[ \frac{3^{8}}{3^{4}} \]

Ask by Wheeler Lyons. in the United States
Mar 11,2025

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\[ 3^4 \]

Solución

We begin with the expression: \[ \frac{3^8}{3^4} \] Using the rule for dividing exponents with the same base, we subtract the exponents: \[ \frac{3^8}{3^4} = 3^{8-4} = 3^4 \]

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To simplify the expression \(\frac{3^{8}}{3^{4}}\), you can use the property of exponents that states \(a^{m}/a^{n} = a^{m-n}\). Applying this property here gives: \[ \frac{3^{8}}{3^{4}} = 3^{8-4} = 3^{4} \] So, the simplified expression is \(3^{4}\).

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