## Definitions and Rules for Exponents

Definitions and Rules for Exponents For all integers m and n and all real numbers a and b, the following rules apply. Product Rule am.an = a m+n Quotient Rule…

## Polynomial Function

Polynomial Function A polynomial function of degree n is defined by f(x) = anxn + an-1 xn-1 + ….. +a1x + a0,.. for real numbers an, an-1,…..a1, and a0 ,…

## Polynomial

Polynomial A polynomial is a term or a finite sum of terms in which all variables have whole number exponents and no variables appear in denominators or under radicals. Examples…

## Converting to Scientific Notation

Converting to Scientific Notation   Step 1 :- Position the decimal point. Place a caret, ^, to the right of the first nonzero digit, where the decimal point will be…

## Power Rules for Exponents

Power Rules for Exponents If a and b are real numbers and m and n are integers, then (a)  (am)n = amn . (b)  (ab)m = ambm (c)  (a/b)m =…

## Quotient Rule for Exponents

Quotient Rule for Exponents If a is any nonzero real number and m and n are integers, then am/an = am-n. In words, when dividing powers of like bases, keep…

## Define 0 and negative exponents

Define 0 and negative exponents    So far we have discussed only positive exponents. Now we define 0 as an exponent. Suppose we multiply 42by 40. By the product rule,…

## Product Rule for Exponents

Product Rule for Exponents   If m and n are natural numbers and a is any real number, then      am. an = am+n.   In words, when multiplying…

## Use row operations to solve a system with two Equations

Use row operations to solve a system with two Equations   Row operations can be used to rewrite a matrix. The goal is a matrix in the form .  …

## Matrix Row Operations

Matrix Row Operations   a. Any two rows of the matrix may be interchanged.   b.  The numbers in any row may be multiplied by any nonzero real   c.  Any row…