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Exponents and Roots Practice

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Exponents and Roots Practice worksheet preview

Exponents and Roots Practice

Mathematical symbols and exponent notation

🔢 Part 1: Simplifying Exponents

Directions: Use the laws of exponents to simplify each expression. Show your work in the space provided.

1. Simplify: 3⁴ × 3²
2. Simplify: 5⁶ ÷ 5⁴
3. Simplify: (2³)²
4. Evaluate: 7⁰
5. Simplify: 10⁻²

√ Part 2: Square Roots and Cube Roots

Directions: Find the value of each root.

6. Calculate: √49

Answer: _______

7. Calculate: ∛27

Answer: _______

8. Calculate: √81

Answer: _______

9. Calculate: ∛125

Answer: _______

🧠 Part 3: Challenge Problems

Directions: Solve these more complex problems. Show all your work.

10. Simplify: (2⁵ × 2⁻³) ÷ 2²
11. If x² = 64, what is the value of x?
12. A cube has a volume of 216 cubic inches. What is the length of each side?

Hint: Volume of a cube = side³

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