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pembagian bilangan yang basisnya beda,pangkatnya sama

The image you've uploaded appears to focus on the topic of dividing numbers with different bases but the same exponents, based on the heading and examples. The general rule for division of numbers with the same exponent but different bases can be expressed as follows:

\[
\frac{a^n}{b^n} = \left(\frac{a}{b}\right)^n
\]

### Let me break down the examples and exercises shown:

#### Example 1:
\[
\frac{3^2}{5^2} = \left(\frac{3}{5}\right)^2 = \frac{9}{25}
\]

This applies the rule for division of exponents with different bases and the same exponent.

#### Example 2:
\[
\frac{2^4}{4^4} = \left(\frac{2}{4}\right)^4 = \left(\frac{1}{2}\right)^4 = \frac{1}{16}
\]

Here, the same principle is applied: dividing the numbers inside the base and raising the result to the shared exponent.

### Exercise Section (Latihan Soal):
#### 1. Selesaikan (Solve):
\[
\frac{5^4}{4^4} = \left(\frac{5}{4}\right)^4 = \frac{625}{256}
\]

\[
\frac{7^3}{4^3} = \left(\frac{7}{4}\right)^3 = \frac{343}{64}
\]

#### 2. Hitunglah (Calculate):
\[
\frac{9^2}{3^2} = \left(\frac{9}{3}\right)^2 = 3^2 = 9
\]

\[
\frac{2^5}{1^5} = \left(\frac{2}{1}\right)^5 = 2^5 = 32
\]

\[
\frac{6^3}{3^3} = \left(\frac{6}{3}\right)^3 = 2^3 = 8
\]

### Would you like a detailed explanation of any of these problems, or do you have any specific questions?

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Here are 5 related questions to extend your understanding:

1. What happens when the exponent is negative in such problems?
2. How do you simplify when both bases are the same in the division?
3. Can this method be applied when dealing with fractions as bases?
4. What if the exponent is a fraction—how does that change the calculation?
5. What would happen if we were dealing with logarithms instead of exponents?

**Tip**: Always simplify the fraction inside the parentheses before applying the exponent to make calculations easier.

Pembagian bilangan yang basisnya beda, pangkatnya sama.

Explore how to divide numbers with different bases but the same exponent, applying the formula a^n / b^n = (a/b)^n. Detailed explanations are provided with examples and exercises, suitable for students in Grades 9-10.

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