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 a² = 16, what is a?

If x = 2 and y = 3, evaluate (x²y)².

If x = 3, evaluate (x² + x^-2).

Simplify: (16^1/4)²

Simplify: (2³)⁴

Simplify: (3⁴ × 3^-2) / 3³

Simplify: (x^1/2 × x^1/3)

Simplify: (x³y²)⁴

State the laws of exponents for multiplication and division of like bases.