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Roots and Powers Worksheet

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Roots and Powers Worksheet worksheet preview

Roots and Powers Worksheet

Mathematical symbols showing roots and powers

📚 Part 1: Understanding Roots and Powers

1. Find the following square and cube roots:

a) √64 = _____

b) √121 = _____

c) ∛27 = _____

d) ∛125 = _____

2. Express the following roots as fractional exponents:

a) √16 = 4^_____

b) ∛8 = 2^_____

c) √49 = 7^_____

3. Solve for the unknown value:

a) x² = 100, so x = _____

b) y³ = 64, so y = _____

c) z² = 144, so z = _____

🧮 Part 2: BEDMAS with Roots and Powers

4. Evaluate the following expressions using BEDMAS. Show your working:

a) 3 + 2³ × √16 =

b) (5 + √9)² =

c) 2 × √25 + 3² =

d) 4 × (2 + √16) - 5 =

e) (3 + √25)² - 10 =

f) 5 + 2² × √36 =

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