Show:
Questions
Responses
Print
Writing & Evaluating with Exponents
Negative Exponents
Multiplying & Dividing Powers
Powers of Powers
Miscellaneous
100
Write using exponents:
5 ⋅ 5 ⋅ 5
5
3
100
Rewrite using a positive exponent:
5
-2
1 /5²
100
4
4
⋅ 4
3
4
12
100
(4
4
)
5
4
20
100
Carmel Nickname
Falcons!
200
Write using exponents:
(-12) ⋅ (-12) ⋅ (-12) ⋅ (-12)
(-12)
4
200
Rewrite using a positive exponent:
8
-5
1 /8
5
200
x
8
⋅ x
3
x
11
200
(x
7
)
8
x
56
200
Sierra High School Nickname
Stallions!
300
Write using exponents:
3 ⋅ 3 ⋅ m ⋅ m ⋅ m ⋅ n ⋅ n
3²m³n²
300
Rewrite using a positive exponent:
x
-15
1 /x
15
300
m
8
÷ m
3
m
5
300
[(5
3
)
2
]
5
5
30
300
Zero Exponent Rule
Any exponent raised to the zero power is 1
400
Evaluate:
(1/7)²
1/49
400
Rewrite using a negative exponent:
1 /6
3
6
-3
400
y
2
÷ y
9
1 /y
7
400
(5x
4
y
5
)
3
125x
12
y
15
400
Dr. Andre Spencer
HSD2 Superintendent
500
Evaluate:
(1/5)
3
⋅ (-8)
0
1/125
500
Rewrite using a negative exponent:
1 /n
12
n
-12
500
8x
4
y
2
÷ 4x
2
y
5
2x
2
÷ y
3
500
(-6m
8
y
3
)
2
36m
16
y
6
500
Product Rule
to multiply two exponents with the same base, you keep the base and add the powers.