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 9

If 10^x = 0.01, what is the value of x?

If 2^x = 16, what is the value of x?

If a² × a³ × a⁴ = a^k, what is the value of k?

If a³ = 27, what is the value of a?

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

If x² = 49, what is the value of x?

Simplify: (–2)³

Simplify: (2³)²

Which of the following is equal to (3²)³? (1) 3⁵ (2) 3⁶ (3) 3⁹ (4) 6³

Which of the following is equal to (a²b)³? (1) a⁶b³ (2) a⁵b³ (3) a²b⁶ (4) a³b²

Which of the following is equal to (x²y³)⁰? (1) 0 (2) 1 (3) x²y³ (4) Undefined

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

Fill in the blank: (a/b)ⁿ = _______

Fill in the blank: (a^m)ⁿ = a^______

Fill in the blank: 10³ = _______

Fill in the blank: 7¹ = _______

True or False: (a × b)ⁿ = aⁿ × bⁿ

True or False: (a/b)^–n = (b/a)ⁿ

True or False: (a^m)ⁿ = a^m+n

True or False: 0⁰ is defined as 1.