14­16 Negative and Zero Exponents.notebook
LT 3­4:
I can evaluate expressions with a zero exponent.
I can evaluate expressions with negative exponents.
­­almost
p.14
Zero a to the 0 power is ______, given that a ≠ 0.
Exponent Property examples:
x0 50 a0 =
Negative A negative exponent means it will equal a # between _____.
Exponents 2n as a n
2n as a 2n as a Property
n
positive 2
decimal
a­n =
1
=
an
4
3
2
1
0
­1
­2
­3
­4
You try: Write the expression as a fraction with no exponents.
fraction
exponent
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
You try: Write the expression with a negative exponent.
5­3 4­1 t ­6 a a a a a a
14­16 Negative and Zero Exponents.notebook
p.15
Using multiple properties:
Simplify each expression. Write your answer using only positive exponents.
5x3
10x7 3 (4c)­2 x­1 (3x)­3 Summary:
CW p.15 (4,5,7,10,11,14)
P p.15­16 (all)
Zero Exponent Property: a0 =
For 1­5, evaluate the expression.
1) 40 2)
3) b0 4)
Negative Exponent Property: For 6­8, write the expression as a fraction with no exponents.
6)
5)
70 72 1
=
an
a­n =
For 9­10, write the expression with a negative exponent.
8) 7)
9) x ­1 4­2 8­3 10) Multi­Property Problems
11) Write answer as a fraction 12) Write answer as a fraction 13)
with no exponents.
3y0 + 2y0 with no exponents.
Write answer with a positive exponent.
c ­4
c 6 Write answer with a 14) positive exponent.
2x3
14x10 15) Write answer with a positive exponent.
16)
Write answer with a positive exponent.
2 (5x)­2 14­16 Negative and Zero Exponents.notebook
p.16
"Remembering"
For 1­8, at what position on the number line is the dot located?
1.
­4
2.
­2
­3
­1
2
2
5.
5
3
4
5
6.
2
1
3
7.
­9
4
4.
3.
0
3
5
6
7
8.
­8
­7
­1
0
14­16 Negative and Zero Exponents.notebook
1­4
5­7
2­4
5­7
8­10
11­13
9­10
12­13
Score:
14­16
Quiz Corrections?
15­16
14­16 Negative and Zero Exponents.notebook
p.15­16 answers
1
1
1
72 or 49
5y0 or 5
1
512
1
16
1
x
7­3
9­4
1
64
1
7x7
1
c10
1
3125
42
2
25x2
14­16 Negative and Zero Exponents.notebook
p.16 answers
1) B
2) D
3) B
4) D
5) A
6) C
7) B
8) B