Chapter 8 Exponents, Square Roots, and the Pythagorean Theorem

Exponent (8-1)

Number that tells how many times another number is a factor.

Base (8-1)

The number being multiplied

Square Root (8-6)

The opposite of raising a number to a power is called taking the ROOT of the number. Root: An equal factor of a number Square Root: A factor of a power of two

Power (8-1)

The product of multiplying any number by itself once or many times.

Dividing with Exponents Rule (8-3)

To divide with the SAME BASE, SUBTRACT their exponents. Example: 4^4/ 4^2 = 4^(4-2) = 4^2

Multiplying with Exponents Rule (8-2)

To multiply numbers with the SAME BASE, ADD their exponents. Example: 4^2 x 4^3 = 4^(2+3) = 4^5

Squares (8-4)

You can use exponents for the area of the square. Area: The number of square units inside a closed region Square: A four - sided shape with sides of equal length and four right angles.

Cubes (8-5)

You can use exponents to describe the VOLUME of a CUBE. Volume: The number of cubic units that fills the interior of a solid Cube: A solid with square faces (think of how dice look)