Powers and Exponents

Math ⇒ Number and Operations

Powers and Exponents starts at 6 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Powers and Exponents. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 11

Explain the difference between aⁿ and n^a.

Express 1/16 as a power of 2.

If 3^x = 81, what is the value of x?

If a = 2 and b = 5, evaluate (a³ + b²)⁰.

If a² = 49, what is a?

If a = 2 and b = 5, evaluate (a³ + b²)⁰.

If x = 2 and y = 3, evaluate (x²y)².

If x = 4, what is the value of x^3/2?

Which of the following is equal to (4³)^1/2? (1) 2 (2) 4 (3) 8 (4) 16

Which of the following is equal to 5⁰? (1) 0 (2) 1 (3) 5 (4) Undefined

Which of the following is equivalent to (a⁴b²)³? (1) a⁷b⁵ (2) a¹²b⁶ (3) a⁴b⁶ (4) a¹²b²

Which of the following is NOT a property of exponents? (1) a^m × aⁿ = a^m+n (2) (a^m)ⁿ = a^mn (3) (ab)ⁿ = aⁿ + bⁿ (4) a⁰ = 1 for a ≠ 0

Fill in the blank: (5²)³ = 5^____

Fill in the blank: (a^m / aⁿ) = a^____

Fill in the blank: 10³ ÷ 10⁵ = 10^____

Fill in the blank: 7² × 7³ = 7^____

True or False: (a/b)ⁿ = aⁿ/bⁿ for all integers n and b ≠ 0.

True or False: (a^m)ⁿ = a^m+n for all integers m and n.

True or False: Any nonzero number raised to the power of zero is 1.

True or False: For any nonzero number a, a^-n = 1 / aⁿ.