Chapter 8

Vocab/Terminology

100

This is the term that represents the small number in the top right hand corner that represents the number of times to multiply another number or variable

Exponent 

200

This is the term used to represent a number attached to a variable

Coefficient

300

These two lines are used to cut a graph into four separate quadrants

X and Y axis

400

This is the name of the term that the exponent gets attached to. The exponent tells how many times to multiply this by

Base

500

State the name of the property represented in this example

(7 x 3) = (3 x 7)

Commutative 

Product Rule

100

 Simplify a⁴ x a²  

a⁶

200

Simplify (xy)(x²y⁵)

x³y⁶

300

Simplify (a³²b²³c²)(a²b³c⁴⁾

(a³⁴b²⁶c⁶)

400

Simplify (y⁵)(y^-7)

1/y²

500

Simplify  (abc⁸)(a⁴b³c⁵)

c³/a³b²

Quotient Rule

100

x²/x

x

200

x⁴y⁵/xy²

x³y³

300

81x⁹/9x²

9x⁷

400

7xy/42x²y⁴

1/6xy³

500

abcdx/a²b³c⁴d⁵x⁶

1/ab²c³d⁴x⁵

Power Rule

100

Simplify (x⁷)³

x²¹

200

(3y⁵)³

27y¹⁵

300

(7x²y⁷z⁹)² 

49x⁴y¹⁴z¹⁸

400

(a⁵)⁸  x  (2a⁶)

2a⁴⁶

500

(3x^-3)²  x  (2x²)²

36/x²

Scientific Notation

100

In scientific notation the first factor must be between what two numbers?

1 and 10

200

In scientific notation, the second factor must have a base of what number?

10

300

What is the following number in scientific notation?

.0007021

7.021 x 10^-4

400

What is the following number in standard notation?

9.99 x 10⁵

999,000

500

Which number is larger?

.00345

.0345

3.45 x 10⁰

3.45 x 10⁰