Exponents Quiz
15 questions · free · new questions every attempt · Updated September 26, 2026
Exponents give a short way to write repeated multiplication, and their rules show up throughout algebra, science and finance. This quiz covers evaluating powers, negative exponents, the three main laws, square roots and scientific notation.
What this quiz covers
- Evaluating whole-number powers
- Negative exponents as reciprocals
- Product, quotient and power-of-a-power laws
- Square roots of perfect squares
- Writing numbers in scientific notation
- Multiplying by powers of ten
How to prepare
When multiplying powers with the same base, add the exponents; when dividing, subtract; when raising a power to a power, multiply. A negative exponent means take the reciprocal. Our exponents guide and exponent calculator help you check.
Sample questions with answers
These five questions show the style. Your quiz above will have different numbers each time.
- 5² = ?
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25. 5² = 5 × 5 = 25.
- 3⁻¹ = ?
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1/3. A negative exponent means reciprocal: 3⁻¹ = 1/3¹ = 1/3.
- Simplify x⁴ ÷ x³.
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x¹. When dividing powers with the same base, subtract the exponents.
- √121 = ?
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11. 11 × 11 = 121, so √121 = 11.
- Write 380,000,000 in scientific notation.
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3.8 × 10⁸. Move the decimal point 8 places so one non-zero digit remains in front: 3.8 × 10⁸.
Frequently asked questions
What is 2 to the power of 5?
2 × 2 × 2 × 2 × 2 = 32.
What is a negative exponent?
It means a reciprocal: 5⁻² = 1/5² = 1/25.
How do I write a number in scientific notation?
Move the decimal point until one non-zero digit is in front and count the moves. Use the converter to check.
Keep practising
Exponents and Powers Explained7 min readExponent CalculatorRaise any number to a power, including negative and fractional exponents.
Multiplication Quiz15 questionsFractions Quiz15 questionsDecimals Quiz15 questionsReviewed September 26, 2026 by the SolveCalcPro editorial team. Questions are generated from tested formulas. Spot a mistake? Tell us.