a²*a³=

Product rule for Exponents

If A is any real number, and 2 and 3

 are positive integers, then:

a⁵

1. (-3)⁰=

2. -3⁰=

Zero Exponent

For any nonzero real number A:

1. 1

2. -1

x⁸÷x²=

 Quotient rule for exponents

x⁶

(2²)³⁼

Power of a power rule

2⁶

(2t)³=

Power of a product rule

8t³

3^-2=

negative integral exponents

1

 3²

5^-1

Rules for negative exponents

1

5

5.6 * 10³⁼

Converting from scientific notation

5600

1. .0035=3.5 * 10^?

2. 304.6 =3.046 * 10^?

Converting into scientific notation ( positive numbers)

1. 10^-3

2. 10²

A number or the product of a number and one or more variables raised to  powers

5x³

p=x²-1

Naming a polynomial

can be a named with a letter such as P or P(x), function notation.

If x=3 then P=8, or

P(3)=8

Evaluating a polynomial

The value of a polynomial is the real number that is obtained when the variable (x) is replaced with a real number.

Adding and Subtracting Polynomials

2x-3

Multiply monomials

-12x¹³

Multiply polynomials

x(x²+2x+5)-1(x²+2x+5)=

x³+2x²+5x-x²-2x-5=

x³+x²+3x -5

FOIL

x²+x-6

Square of a sum

x²+6x+9

Square of a difference

m²-10m+25

Product of a sum and difference

x²-4

8x^5÷(2x²)=

Dividing monomials

4x³

3x⁵+9x=

3x

Divide a polynomial by a monomial

x⁴+3