lecture 1.5 bt

Today’s Agenda

• Attendance / Announcements

• Questions from HW?

• Quiz Tomorrow (1.3 – 1.5)

• Section 1.5 Exponents and Radicals

Exponents…continuedMore Properties of Integer

Exponents

Exponents…continuedMore Properties of Integer

Exponents

Simplify…

Simplify…(a lil‟ trick.)

5

2

2

163

3

9

27

Exponents…continuedMore Properties of Integer

Exponents

Simplify…

Exponents…continuedNegative Exponents

We usually want our answers to be

written only in Positive

Exponents…So we need to rewrite.

Simplify…

Exponents…continuedNegative Exponents

Simplify…2

2y

x2

3

43

z

yx

¡CHALLENGE !

43231 34 xx

¡CHALLENGE !

3

24

235

y

x

x

x

Properties of Exponents

• You‟ll need to know the entire

list on page 41.

Classwork…Part I

• Page 46 1 – 21 every other odd

43 – 49 odd

...Ask questions if you have „em!

Rational Exponents Radicals

You can think of fraction exponents

as radicals…and vice versa

Rational Exponents (p. 44)

So, if n is an even integer and a ≥ 0;

or if n is odd, then

naan1

When dealing with radicals/roots, we

always need to think about…

Rational Exponents Radicals

And if the root exists…

nm

aan m

An example of when the root doesn’t

exist…

Rewrite in radical notation

32

x 43

)3( y

Rewrite in exponent notation5x 3 7 33 x

Rational Exponents Radicals

Another Way to simplify

52

32

Properties of Radicals (p. 44)

Radicals can be separated across

multiplication and division.

Properties of Radicals

We use these properties when we

simplify roots.

72

Properties of Radicals

80245205

Remember, we can only add “like”

terms

Properties of Radicals

2353

Classwork / Homework

• Page 34 1 – 87 every other odd

...Ask questions if you have „em!