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Assessment: Exponents and Radicals

Answer every question, then submit to see your score and which topics to review.

Part A — Concept Questions

What does a negative exponent do to a base?

Easy

What question does ⁿ√a answer?

Easy

Part B — Formula & Application

Simplify x⁷ / x², and give the resulting exponent on x.

Medium

Evaluate 4^(3/2).

Medium

Part C — Problem Solving

Simplify √72.

Medium

Rationalize 6/√3.

Hard

Part D — Real-Life Application

A bacteria culture of 200 cells doubles every hour. How many cells after 4 hours?

Medium

A viral video's views follow V = 100 · 3ᵗ (t in days). After how many days does it reach 8,100 views?

Medium

Part E — Challenge

Simplify (2x²y)³.

Hard

Simplify (2√3)(3√6).

Hard

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