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The image shows several mathematical expressions involving roots and exponents, and the instruction "Tuliskan setiap bentuk berikut sebagai satu bilangan berpangkat," which translates from Indonesian to "Write each of the following forms as a single exponential expression." The question seems to ask for simplification of radical expressions into exponential form.

I'll go through each part:

### a. \( \sqrt{5} \cdot \sqrt[3]{5} \)
   This can be expressed using exponents:
   \[
   \sqrt{5} = 5^{1/2} \quad \text{and} \quad \sqrt[3]{5} = 5^{1/3}
   \]
   When multiplying powers with the same base, add the exponents:
   \[
   5^{1/2} \cdot 5^{1/3} = 5^{(1/2 + 1/3)} = 5^{5/6}
   \]

### b. \( \sqrt[3]{7} \cdot \sqrt[5]{7} \)
   Similarly:
   \[
   \sqrt[3]{7} = 7^{1/3} \quad \text{and} \quad \sqrt[5]{7} = 7^{1/5}
   \]
   Adding the exponents:
   \[
   7^{1/3} \cdot 7^{1/5} = 7^{(1/3 + 1/5)} = 7^{8/15}
   \]

### c. \( \sqrt[4]{13} \cdot \sqrt[3]{13} \)
   For this one:
   \[
   \sqrt[4]{13} = 13^{1/4} \quad \text{and} \quad \sqrt[3]{13} = 13^{1/3}
   \]
   Adding the exponents:
   \[
   13^{1/4} \cdot 13^{1/3} = 13^{(1/4 + 1/3)} = 13^{7/12}
   \]

### d. \( \frac{\sqrt[3]{7}}{\sqrt{7}} \)
   Using exponents again:
   \[
   \frac{\sqrt[3]{7}}{\sqrt{7}} = \frac{7^{1/3}}{7^{1/2}}
   \]
   Subtracting the exponents:
   \[
   7^{(1/3 - 1/2)} = 7^{-1/6}
   \]

### e. \( \frac{\sqrt[5]{7}}{\sqrt[3]{7}} \)
   Using the same method:
   \[
   \frac{\sqrt[5]{7}}{\sqrt[3]{7}} = \frac{7^{1/5}}{7^{1/3}} = 7^{(1/5 - 1/3)}
   \]
   Simplifying the exponent:
   \[
   7^{(1/5 - 1/3)} = 7^{-2/15}
   \]

### f. \( \frac{\sqrt{5}}{\sqrt[3]{3}} \)
   This one can be written as:
   \[
   \frac{\sqrt{5}}{\sqrt[3]{3}} = \frac{5^{1/2}}{3^{1/3}}
   \]
   This is already in simplified exponential form, but since the bases are different, you cannot combine the powers.

Would you like further details on any of the steps? Here are some related questions:

1. How do you add exponents when multiplying powers of the same base?
2. How do you subtract exponents when dividing powers of the same base?
3. What is the difference between a square root and a cube root in terms of exponents?
4. How do you simplify expressions with different bases?
5. Can negative exponents be rewritten as fractions?

**Tip**: Always remember that when multiplying terms with the same base, you add the exponents, and when dividing, you subtract them.

Write each of the following forms as a single exponential expression. Simplify the given radical expressions in parts a to f.

This lesson simplifies various radical expressions by converting them into a single exponential form. Learn key concepts such as exponents and radicals, suitable for Grades 9-10.

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