Sure! Let's solve the additional practice problems step by step.

### 1. Simplify: \(\frac{8^5}{8^3}\)

**Solution:**
\[
\frac{8^5}{8^3} = 8^{5-3} = 8^2 = 64
\]

### 2. Simplify: \(\sqrt[4]{16}\)

**Solution:**
\[
\sqrt[4]{16} = 2
\]
(Here, \(2^4 = 16\), so the fourth root of 16 is 2.)

### 3. Solve for \(x\): \(3^x = 81\)

**Solution:**
\[
3^x = 81
\]
Since \(81 = 3^4\), we have:
\[
x = 4
\]

### 4. Simplify: \((2^3)^2\)

**Solution:**
\[
(2^3)^2 = 2^{3 \times 2} = 2^6 = 64
\]

### 5. Solve for \(x\): \(x^3 = 64\)

**Solution:**
\[
x^3 = 64
\]
Taking the cube root of both sides:
\[
x = \sqrt[3]{64} = 4
\]
(Here, \(4^3 = 64\).)

Would you like more problems or details on these solutions?

### Related Practice Questions:

1. Simplify: \( \frac{9^4}{9^2} \)
2. Simplify: \( \sqrt[3]{125} \)
3. Solve for \( x \): \( 2^{2x} = 32 \)
4. Simplify: \( (5^2)^3 \)
5. Solve for \( x \): \( x^4 = 81 \)

### Tip:
When solving equations involving exponents, express both sides with the same base if possible, then equate the exponents to find the solution.

Explore solutions to practice problems involving exponents and roots. Learn to simplify expressions like 8^5 / 8^3, find roots like √[4]{16}, solve equations like 3^x = 81, and more. Suitable for Grades 7-9 students studying algebra and exponent rules.

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