Powers and Roots

Powers (Exponents)

• Repetition of multiplication.
• superscript

EQuivalent Expressions

• Different ways to write a number.
• Same value.
• Expansions (decomposition)
• simplification

Example

• Write several equivalent expressions of 81.

Squaring and Cubing

• Squaring - raising a number to the 2nd power.
• Cubing - raising a number to the third power
• Geometry connections!!!
• Perfect squares: 4,9,16,25,... 
• Squaring negative numbers.

Roots (or Radicals)

• Inverse of raising a number to a power.
• Algebra 1 - square roots only
• radical symbol
• not all radicals are rational

Writing for Concept Development

• Express 9*9*9*9 with an exponent.
• Explain what you did using a complete sentence.
• Express 5*a*5*5*a*a*a with exponents.
• Explain. What was similar about the 1st and 2nd problems?
• What was different about the two problems?

Homework

• Worksheet