Whole-number powers

Problem types

• Order of operations with negatives and exponents
• Write a prime factorization
• Use a prime factorization
• Evaluate powers
• Find a missing exponent
• Powers and repeated products
• Compare powers
• Powers in expressions
• Doubling and tripling as powers

Builds on

• Powers of 10 and place value
• Factors, multiples, primes, and composites · Earlier idea

  A prime that repeats in a factorization can be written as a power. The exponent counts how many times that prime is multiplied.

• Patterns in the operations · Earlier idea

  A pattern that doubles each time is repeated multiplication, which a power writes with an exponent.

Leads to

• Expressions with variables
• Circumference and area of a circle
• Approximating roots
• Laws of exponents

Related skills

None listed.