Exponents and Radicals Flashcards
7 cards from real Algebra Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Exponents and Radicals flashcards as text
What is the value of 2⁵?
Answer: 32
2⁵ means 2 multiplied by itself 5 times: 2×2×2×2×2 = 32.
Simplify: x³ · x⁴
Answer: x⁷
When multiplying powers with the same base, add the exponents: x³ · x⁴ = x^(3+4) = x⁷.
What is the value of 5⁰?
Answer: 1
Any nonzero number raised to the power of 0 equals 1.
Simplify: (x²)³
Answer: x⁶
When raising a power to a power, multiply the exponents: (x²)³ = x^(2×3) = x⁶.
What is √144?
Answer: 12
12 × 12 = 144, so √144 = 12.
Simplify: x⁶ ÷ x²
Answer: x⁴
When dividing powers with the same base, subtract the exponents: x⁶ ÷ x² = x^(6−2) = x⁴.
What is the value of 3⁻²?
Answer: 1/9
A negative exponent means reciprocal: 3⁻² = 1/3² = 1/9.