Algebra Test Exponents and Radicals 2

Question 1

Simplify: √50

Accepted Answer

5√2

Answer

√50 = √(25 × 2) = √25 · √2 = 5√2.

Question 2

What is 4^(1/2)?

Accepted Answer

2

Answer

4^(1/2) equals √4 = 2, since 2² = 4.

Question 3

Simplify: √(x⁴), assuming x ≥ 0

Accepted Answer

x²

Answer

√(x⁴) = x^(4/2) = x².

Question 4

Which expression is equivalent to ∛(x⁶)?

Accepted Answer

x²

Answer

∛(x⁶) = x^(6/3) = x².

Question 5

Simplify: (2x²)³

Accepted Answer

8x⁶

Answer

Apply the power to each factor: 2³ = 8 and (x²)³ = x⁶, giving 8x⁶.

Algebra Test Practice Test