https://file.aiquickdraw.com/mathbot/file/17267173474179b84e38h.jpg

Here is a breakdown of the questions from the image you've uploaded:

---

### **1. Nyatakan ke bentuk paling sederhana dalam pangkat positif:**
\[
\left( \frac{x^2y^{-3}z^{-1}}{x^3y^5z^{-4}} \right)^2
\]

**Simplify this expression using positive exponents.**

---

### **2. Tentukan himpunan penyelesaian dari persamaan eksponen berikut:**
\[
3^{3x^2+2x-1} = 3^{2x+1}
\]

**Find the solution set for the given exponential equation.**

---

### **3. Hitunglah nilai dari:**
\[
125^{\frac{1}{3}} + 24^{\frac{3}{2}} - 128^{\frac{2}{7}}
\]

**Calculate the value of this expression.**

---

### **4. Sederhanakan bentuk akar berikut:**
a) 
\[
3\sqrt{150} + 5\sqrt{54} - 8\sqrt{96}
\]

b)
\[
\frac{\sqrt{32} - 5\sqrt{8}}{2\sqrt{128}}
\]

**Simplify these square roots.**

---

### **5. Rasionalkan penyebut dari pecahan berikut:**
a)
\[
\frac{\sqrt{32}}{\sqrt{12}}
\]

b)
\[
\frac{3}{3+\sqrt{2}}
\]

**Rationalize the denominator in these two fractions.**

---

Let me know if you'd like to go through each question one by one or if you need specific help with any question!

Would you like the solutions to these questions in detail? Here are 5 questions that can deepen your understanding:

1. What rules apply when simplifying expressions with exponents and radicals?
2. How do you solve exponential equations using the property of equal bases?
3. What is the process for converting radicals to simplified form?
4. How do you approach rationalizing denominators with square roots?
5. Can you identify when a cube root and square root need simplification before adding them together?

**Tip:** Always check if you can factor or simplify before applying exponent rules to make calculations easier!

Nyatakan ke bentuk paling sederhana dalam pangkat positif: (x^2y^{-3}z^{-1}/x^3y^5z^{-4})^2; Tentukan himpunan penyelesaian dari persamaan eksponen berikut: 3^{3x^2+2x-1} = 3^{2x+1}; Hitunglah nilai dari: 125^{1/3} + 24^{3/2} - 128^{2/7}; Sederhanakan bentuk akar berikut: 3√150 + 5√54 - 8√96; Rasionalkan penyebut dari pecahan berikut: √32/√12

Learn how to simplify expressions with exponents, solve exponential equations, and rationalize denominators. The problems cover topics such as exponent rules, radical simplification, and rationalization techniques, suitable for Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation