Math 7 (Period 4)

 Powers & Exponents 1.3
A Power has two parts:

BASE= the large number on the bottom ( base)

EXPONENT = the tiny number raise up

EXPONENTIAL NOTATION = the ay you write the expression with the exponent

EXPANDED NOTATION = showing the multiplication the appropriate number of times reflected by the exponent

In your book this is called “ repeated multiplication”

STANDARD NOTATION = the actual value ( what you would expect) you find this by evaluating the power—doing the repeated multiplication

3⁴ is exponential notation where 3 is the base and 4 is the exponent

(3)(3)(3)(3)  is expanded notation

81 is standard notation

The entire expression is called     3 to the power of 4

(4y)³ = (4y)(4y)(4y) = 64y³

Evaluating a Power

Evaluating is plugging and chugging when a variable is raised to a power

x⁴ when x = 3   3⁴ = 81

Some special powers to know

There are two special powers that have ‘nicknames”

3² can be read  “ 3 to the second power” but its nickname is 3 squared

This is based on finding the area of a square

If one side of the square is 3 then the area would be ( 3)(3) which is 3²

Likewise 3³ can be read 3 to the third power.... but its nickname is “ 3 cubed”

This name is based on finding the volume of a cube.

(3)(3)(3) = 3³