Download Aim #1: How do we write and evaluate numbers in exponential

Aim #1: How do we write and evaluate
numbers in exponential notation?
9-7-16
(Unit 1 - Exponents and Scientific Notation)
HW #1: Exponential Notation Handout
Do Now: Evaluate each expression.
1)
2)
3)
4)
5)
6)
Exponents
2
1) Consider the number 4 .
a) The 2 is called the exponent.
b) The 4 is called the base.
2
c) The 4 is called the power.
2)
6
a) 5 means 5 x 5 x 5 x 5 x 5 x 5.
6
th
b) We can say 5 as "5 raised to the 6 power.
Exponential Notation: For any number x and any positive
x
integer n, xn = x x x
x is the base
n times
n is the exponent
th
n
We can say x as "x raised to the n power."
3) Write the expression below in exponential notation.
9
7
9
7
9
7
9
7
4) Evaluate each expression.
a)
(-2)
6
b)
-4 3
11
) )
c)
-1.5
2
d)
2
) )
2
3
3
5) Explain the importance of having parentheses around the
base when evaluating expressions with exponents.
(Refer to question 4)
Parentheses show what part of the expression is being
multiplied repeatedly
6) Let's see if we can find a pattern!
1
(-1) =
2
(-1) =
3
(-1) =
4
(-1) =
5
(-1) =
6
(-1) =
7
(-1) =
When a negative number is raised to an odd power, the
result is _____________.
When a negative number is raised to an even power, the
result is _____________.
7) Evaluate:
2
12
a) (-1)
2
99
b) (-1)
8) Is -5 the same as (-5) ? Show work to justify your answer.