Simplify to a single power of 3:

start fraction, 3, to the power 8 , divided by, 3, to the power 4 , end fraction

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To simplify the expression \(\frac{3^8}{3^4}\) to a single power of 3, you can use the property of exponents:

\[
\frac{a^m}{a^n} = a^{m-n}
\]

Applying this property:

\[
\frac{3^8}{3^4} = 3^{8-4} = 3^4
\]

So, the simplified expression is \(3^4\).

Would you like more details or have any questions? Here are some related questions to expand on this concept:

1. How do you simplify \(\frac{3^{10}}{3^2}\)?
2. What is the result of multiplying \(3^4 \times 3^3\)?
3. How do you simplify \(\frac{3^5 \times 3^2}{3^3}\)?
4. How would you simplify \(\frac{2^8}{2^3}\) using the same method?
5. Can you simplify \(\frac{5^6 \times 5^3}{5^4}\)?

**Tip:** When dividing exponents with the same base, subtract the exponent of the denominator from the exponent of the numerator!

Learn how to simplify the expression \(\frac{3^8}{3^4}\) to a single power of 3 with step-by-step explanation. This problem covers exponentiation rules and is suitable for Grades 7-9.

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