Algebra Test Exponents and Radicals

Question 1

What is the value of 2⁵?

Accepted Answer

32

Answer

2⁵ means 2 multiplied by itself 5 times: 2×2×2×2×2 = 32.

Question 2

Simplify: x³ · x⁴

Accepted Answer

x⁷

Answer

When multiplying powers with the same base, add the exponents: x³ · x⁴ = x^(3+4) = x⁷.

Question 3

What is the value of 5⁰?

Accepted Answer

1

Answer

Any nonzero number raised to the power of 0 equals 1.

Question 4

Simplify: (x²)³

Accepted Answer

x⁶

Answer

When raising a power to a power, multiply the exponents: (x²)³ = x^(2×3) = x⁶.

Question 5

What is √144?

Accepted Answer

12

Answer

12 × 12 = 144, so √144 = 12.

Algebra Test Practice Test