Exponents and Powers

Math ⇒ Algebra

Exponents and Powers 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 Exponents and Powers. 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 10

If 2^x = 32, what is the value of x?

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

If a² = 49, what is the value of a?

If a^m = aⁿ, what can you say about m and n (assuming a ≠ 0, a ≠ 1)?

If a^m × aⁿ = a^k, what is the value of k in terms of m and n?

If aⁿ = 1 and a ≠ 0, what can you say about n if a ≠ 1 and a ≠ -1?

If x⁴ = 81, what is the value of x?

Simplify: (2³ × 4²) ÷ 8

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

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

Which of the following is equivalent to 4³ ÷ 4²? (1) 4 (2) 8 (3) 16 (4) 64

Which of the following is the correct value of (16^1/4)²? (1) 2 (2) 4 (3) 8 (4) 16

Fill in the blank: 16^3/4 = _______

Fill in the blank: 2ⁿ × 2^m = 2^______

Fill in the blank: 7³ = _______

Fill in the blank: 9^1/2 = _______

True or False: (a/b)ⁿ = aⁿ/bⁿ

True or False: (a^m)ⁿ = a^m+n

True or False: (ab)ⁿ = aⁿ + bⁿ

True or False: 0⁰ is defined as 1.