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 9

If a = 3 and b = 2, what is the value of (a² × b³)?

If x = 2, what is the value of x⁴ + x²?

Simplify: (2³ × 2⁴) ÷ 2²

Simplify: (3² × 2³)

Simplify: (4³ ÷ 2³)

If a = 3 and b = 2, what is the value of (a² × b³)?

If x = 2, what is the value of x⁴ + x²?

Given the context: In a certain bacteria culture, the number of bacteria doubles every hour. If the initial number of bacteria is N, express the number of bacteria after t hours using exponents.

Which of the following is equal to (2³)⁴? (1) 2⁷ (2) 2¹² (3) 8⁴ (4) 2¹

Which of the following is equal to (a³ ÷ a⁵)? (1) a² (2) a^-2 (3) a⁸ (4) a^-8

Which of the following is equal to (x²y)³? (1) x⁵y³ (2) x⁶y³ (3) x²y⁶ (4) x³y²

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

Fill in the blank: (a^m)ⁿ = a^______

Fill in the blank: 10³ = _______

Fill in the blank: 2ⁿ × 2³ = 2^______

Fill in the blank: 7¹ = _______

True or False: (a^m)ⁿ = a^m+n

True or False: (ab)ⁿ = aⁿ + bⁿ

True or False: 0⁰ is defined as 1.

True or False: a^m ÷ aⁿ = a^m-n