Appendix:A.2 Exponents and radicals. Integer Exponents exponent base.

Appendix:A.2

Exponents and radicals

Integer Exponents

aaaaan factorn

exponent

base

Scientific Notation

10c1where,10c n

8105.4000000045.0

Scientific notation has the form

The positive exponent indicates that the number is large

The negative exponent indicates that the number is small

Example ::

121013.2000,000,000,130,2

and n is an integer

Radicals and Their Properties

Perfect squares : 1, 4, 9, 16, 25 because they have integer square roots.

Perfect cubes : 1, 8, 27, 64, 125 because they have integer cube roots.

Simplifying Radicals

Simplifying Radicals

Rationalizing Denominators and Numerators

mbaormba

23

23.1

33

3

2.2

aa

To rationalize a denominator or numerator of the form

Multiply both numerator and denominator by a conjugate

Example : Rationalize the denominator of each expression

123

31.3

Rational Exponents

Rational Exponent

Home work

A.2 exercises36, 38, 50, 74, 82, 84, 88, 100, 104