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 12

Explain the meaning of a rational exponent.

Explain why any nonzero number raised to the power of zero is 1.

Express 1/27 as a power of 3.

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

If 5^x = 1/125, what is the value of x?

If a = 4 and b = 2, evaluate (a/b)^-2.

If x = 2 and y = 3, evaluate (x²y)².

If x = 3, evaluate (x² + x^-2).

Which of the following is equal to (a^mbⁿ)^p? (1) a^mpb^np (2) a^m+pb^n+p (3) a^mnpb^mnp (4) a^mpbⁿ

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

Which of the following is equivalent to (a^m)(aⁿ)? (1) a^m+n (2) a^mn (3) a^m-n (4) a^n-m

Which of the following is the correct simplification of (a²b³)⁰? (1) 0 (2) 1 (3) a²b³ (4) a⁰b⁰

Fill in the blank: The value of (27^1/3) is __________.

Fill in the blank: The value of (4^1/2) is __________.

Fill in the blank: The value of (9^3/2) is __________.

Fill in the blank: The value of 10³ × 10² = __________.

True or False: (a/b)ⁿ = aⁿ/bⁿ for all real numbers a, b ≠ 0, and integer n.

True or False: (a^m)ⁿ = a^mn for all real numbers a, m, and n.

True or False: For any nonzero number a, a⁰ = 1.

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