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 10

A scientist writes the number 3,200,000 as 3.2 × 10ⁿ. What is the value of n?

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

Explain why 0⁰ is considered undefined.

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

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

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)⁵ + 2⁵

Simplify: (2³)⁴

Simplify: (4² × 2³) ÷ 8

Simplify: (x²y³)²

Simplify: (x³y²) ÷ (x²y)

Simplify: 3⁴ × 3²

Simplify: 5⁶ ÷ 5²

What is the value of 2⁵?

A population of bacteria triples every hour. If the initial population is P, express the population after n hours as a power of 3.

Explain why (a^m)ⁿ = a^mn for any real number a ≠ 0 and integers m, n.

If a^2x = 1/a⁴, what is the value of x?

If x = 3² × 3⁻⁵ + 3⁰, what is the value of x?

Simplify and express your answer as a single power of 2: 2⁵ × 4³ ÷ 8².