Problem 18
Question
Evaluate each exponential expression. $$ \frac{3^{8}}{3^{4}} $$
Step-by-Step Solution
Verified Answer
The simplified result is 81.
1Step 1: Recognize the Pattern
The expression can be rewritten in a simpler form using the properties of exponents. With fractional exponents, remember that subtraction of exponents is used when the bases are the same and they are being divided.
2Step 2: Simplify the Exponents
Given the expression \(\frac{3^{8}}{3^{4}}\), apply the rule of subtracting exponents to rewrite the expression. It results in \(3^{(8-4)}\).
3Step 3: Evaluate the Result
Now calculate the result, \(3^{4}\), to get the final answer.
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