Algebra Test Exponents and Radicals 3

Question 1

What is the product √3 · √12?

Accepted Answer

6

Answer

√3 · √12 = √(3 × 12) = √36 = 6.

Question 2

Simplify: (x³ · x⁻¹) / x²

Accepted Answer

1

Answer

x³ · x⁻¹ = x², then x² / x² = x⁰ = 1.

Question 3

Which expression is equivalent to x^(3/2)?

Accepted Answer

x√x

Answer

x^(3/2) = x^1 · x^(1/2) = x · √x = x√x.

Question 4

Rationalize the denominator of 1/√5.

Accepted Answer

√5/5

Answer

Multiply by √5/√5: (1 · √5)/(√5 · √5) = √5/5.

Question 5

What is the value of (-8)^(1/3)?

Accepted Answer

-2

Answer

(-8)^(1/3) is the cube root of -8; since (-2)³ = -8, the answer is -2.

Algebra Test Practice Test