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Basic Exponents
Definitions
Negative Exponents
Power/Product/Quotient Rules
Anything Goes
100
Write using exponents: 5 ⋅ 5 ⋅ 5
What is 5
3
?
100
A number times itself.
What is power?
100
A base with a negative exponent equals this.
What is a fraction?
100
4
4
⋅ 4
3
.
What is 4
12
?
100
[(5
3
)
2
]
5
.
What is 5
30
?
200
Write 125 using exponents?
What is 5
3
?
200
The product of two equal factors.
What is a square?
200
Evaluate: -7
-3
.
What is - 1/343?
200
x
8
* x
3
.
What is x
11
?
200
8x
4
y
2
2y
5
What is 2x
2
÷ y
3
?
300
Write using exponents: 3 * 3 * m * m * m * n * n
What is 3
2 * m
3
* n
2
?
300
A way of writing numbers using exponents.
What is exponential form?
300
Rewrite using a positive exponent: 5
-2
What is 1 /5²?
300
m
8
÷ m
3
.
What is m
5
?
300
(5
-3
* 5
-11
)
4
divided by (5
-4
)
10
What is 1/5
16
?
400
Write 169 with exponents.
What is 13
2
?
400
The number expressed with an exponent.
What is a base?
400
Rewrite using a positive exponent: x
-15
What is 1/x
15
?
400
(x
7
)
8
.
What is x
56
?
400
(y
0
y
5
y
-4
divided by y
4
y
-6
with the whole thing cubed.
What is y
9
?
500
Evaluate: (1/5)3 ⋅ (-8)0
What is 1/125?
500
A symbol or number placed above and after another symbol or number to denote the power to which the latter is to be raised.
What is an exponent?
500
Rewrite using a negative exponent: 1 /n
12
.
What is n
-12
?
500
(5x
4
y
5
)
3
.
What is 125x
12
y
15
?
500
(5
5
)
20
divided by 5
4
* 5
-7
What is 5
103
?