Test: Powers and scientific notation
Dynamic tasks on powers, exponent rules, order of operations, negative exponents and scientific notation. Includes comparison and mathematical-language comprehension.
Question qty: 10
Duration in minutes: 14
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Sample questions
- Compare pirmas and antras. Which statement describes their relationship exactly?
- Calculate: an.
- Simplify: (am)n.
- Calculate using the correct order of operations: an + b.
- Simplify: am · an.
- Simplify: am ÷ an.
- Which expression is equal to a−n?
- Write skaicius in scientific notation. Note: the first factor must be at least 1 and less than 10.
Powers and scientific notation
In aⁿ, a is the base and n gives the number of equal factors. When multiplying powers with the same base, add exponents; for division, subtract them; for a power raised to a power, multiply exponents.
Scientific notation
Write a number as a × 10ⁿ, where 1 ≤ |a| < 10. A positive exponent moves the decimal point right and a negative one moves it left. Check the sign of a negative number and the role of parentheses separately.
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