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The image contains a math assignment with two main tasks. Here's a transcription of the content:

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**Tugas Matematika**

*Pelajaran materi eksponen dan bentuk akar untuk persiapan STS minggu depan*

Untuk pemantapan, silahkan kerjakan latihan berikut. Kerjakan dicatatan masing-masing dan kumpulkan sebagai bukti kehadiran.

1. **Ubahlah soal-soal di bawah menjadi bentuk pangkat paling sederhana**:
   a. \( 9 \cdot 10^6 \cdot 10^{-4} \cdot 10^{-7} \)
   
   b. \( 10^3 \cdot 100^2 \)
   
   c. \( 5^3 \cdot \left( \frac{1}{25} \right)^1 \cdot 5^{-2} \)
   
   d. \( \left( \frac{1}{3} \right)^5 : 9 \)

2. **Rasionalkan bentuk akar berikut**:
   a. \( \frac{10}{\sqrt{5}} \)
   
   b. \( \frac{10}{\sqrt{3} + \sqrt{8}} \)
   
   c. \( \frac{20}{\sqrt{10}} \)
   
   d. \( \frac{24}{\sqrt{13} - \sqrt{7}} \)
   
   e. \( \frac{15}{\sqrt{7} + \sqrt{2}} \)
   
   f. \( \frac{0}{\sqrt{3}} \)

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Let me know if you'd like assistance with any of these problems, and I can help solve and explain them! Would you like detailed solutions for these?

Solve the following tasks related to exponents and radicals:
1. Simplify the following exponential expressions:
   a. 9 * 10^6 * 10^-4 * 10^-7
   b. 10^3 * 100^2
   c. 5^3 * (1/25)^1 * 5^-2
   d. (1/3)^5 : 9

2. Rationalize the following radical expressions:
   a. 10 / sqrt(5)
   b. 10 / (sqrt(3) + sqrt(8))
   c. 20 / sqrt(10)
   d. 24 / (sqrt(13) - sqrt(7))
   e. 15 / (sqrt(7) + sqrt(2))
   f. 0 / sqrt(3)

Learn how to simplify exponential expressions and rationalize radical expressions. This detailed guide covers exponent rules, radical simplification, and techniques for rationalizing denominators. Suitable for high school students (Grades 9-12).

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