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Polynomials
Polynomials
21
Mathematics
Undergraduate 1
10/14/2007

Additional Mathematics Flashcards

 


 

Cards

Term
The expression being raised to a power is called
Definition
the base
Term
Another word for "power" is
Definition
exponent
Term
2 to the 5th power equals
Definition

 

2*2*2*2*2

 

32

Term
(-2) to the 4th power equals
Definition

(-2)*(-2)*(-2)*(-2)*

 

16

Term

What do you do if you are combining 2 exponential expressions with the same base?

 

5x2 + 3x2

Definition

Combine the coefficients

and copy the base and exponent

(combine like terms)

 

5x2 + 3x2 = 8x2

 

Term
Why can't you combine two exponential expressions with different bases?
Definition
If the bases are different, they cannot be combined because they are not like terms!
Term

If you are multiplying 2 exponential expressions with the same base, what do you do with the coefficients?

 

(3x2)(5x7)

Definition

If you are multiplying 2 exponential expressions with the same base, you multiply the coefficients.

 

(3x2)(5x7)=15x9

Term

If you are multiplying 2 exponential expressions with the same base, what do you do with the base?

 

(3x2)(5x7)

Definition

If you are multiplying 2 exponential expressions with the same base, copy the base and add the exponents.

 

(3x2)(5x7)=15x9

Term

If you are multiplying 2 exponential expressions with the same base, what do you do with the exponents?

 

(3x2)(5x7)

Definition

If you are multiplying 2 exponential expressions with the same base, copy the base and add the exponents.

 

(3x2)(5x7)=15x9

Term

If you are dividing 2 exponential expressions, what do you do with the coefficients?

 

12x53x2

Definition

Divide the coefficients

 

12x53x2 = 4x3

 

Term
What is another word for the "multiplicative inverse"?
Definition
the reciprocal
Term
Raising an expression to -1 yields
Definition
the reciprocal
Term
As soon as you see a negative exponent, think
Definition
fraction
Term
The identity element for multiplication is
Definition
1
Term
Any number to the zero power equals
Definition
1
Term
What does the "quotient to a power rule" tell us?
Definition

If a fraction is raised to a power, both the top and bottom of the fraction are raised to the power.

 

(x/y)2 = x2/y2

Term
A way of handling very large and very small numbers
Definition
scientific notation
Term

In scientific notation,

positive exponents of 10 mean

Definition
BIG numbers
Term

In scientific notation,

negative exponents of 10 mean

Definition
little numbers
Term

In scientific notation,

BIG numbers have powers of 10 raised to

Definition
positive exponents
Term

In scientific notation,

little numbers have powers of 10 raised to

Definition
negative exponents
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