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 12

Explain the difference between a negative exponent and a positive exponent.

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

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

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

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

If a² = 16, what are the possible values of a?

If a³ × a^k = a⁸, what is the value of k?

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

Simplify: (2³)⁴

Simplify: (2x²y)³

Simplify: (3x²y^-1)²

Simplify: (4x³y^-2)²

Simplify: (x²y³)²

Simplify: (x^-2y³)²

Simplify: (x²y³z)⁰ × (xyz)²

State the product law of exponents.

State the quotient law of exponents.

If a and b are positive real numbers such that a^2x = b^3x and a ≠ b, what is the value of x in terms of a and b?

If x = 3^k and y = 3^2k+1, express y in terms of x.

Let a, b, and c be nonzero real numbers. If a² × b^-3 × c⁴ = 1, express c in terms of a and b.