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 11

Explain the difference between aⁿ and n^a.

Express 1/16 as a power of 2.

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

If a = 2 and b = 5, evaluate (a³ + b²)⁰.

If a² = 49, what is a?

If x = 2 and y = 3, evaluate (x²y)².

If x = 4, what is the value of x^3/2?

Simplify: (2³)⁴

Simplify: (2⁴ × 2^-2)³

Simplify: (2x²y)³

Simplify: (3⁵ × 3^-2) / 3²

Simplify: (x^-2y³)²

Simplify: (x³y^-2)²

Simplify: (x⁴y³)/(x²y)

State the product rule for exponents.

Given that x > 0, simplify the expression: (x^4/5)^5/4.

If 2^x = 5, express 2^2x+1 in terms of 5.

If a and b are positive real numbers such that a² = 8 and b³ = 27, evaluate (a³ × b²).

Let a, b, and c be nonzero real numbers. If a^k = b and b^m = c, express a in terms of c, k, and m.

Prove that for any nonzero real number a and rational numbers m and n, a^m × aⁿ = a^m+n.