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Exponents - Negative Base Expanded (Level 2)

This math topic focuses on handling exponents with negative bases and understanding the effects of raising negative numbers to different powers. Specifically, it challenges students to calculate the results of negative numbers multiplied by themselves several times. The problems involve assessing various integer powers of negative numbers, illustrating how exponentiation can change the sign and magnitude of the outcomes based on whether the exponent is odd or even. The topic is part of an advanced unit on exponents, designed to deepen understanding of properties of powers and exponentiation in mathematics.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Negative Base Expanded

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the answer when this number is multiplied by itself as shown

(−4)×(−4)×(−4)(-4) \times (-4) \times (-4)

Exponents - Negative Base Expanded Worksheet

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Math worksheet on 'Exponents - Negative Base Expanded (Level 2)'. Part of a broader unit on 'Exponents - Advanced' Learn online: app.mobius.academy/math/units/exponents_advanced/
1
Find the answer when this number is multiplied by itself as shown
A LaTex expression showing (-12) multiplied by (-12)
a
-12
b
-1,728
c
20,736
d
144
e
141
f
-10
2
Find the answer when this number is multiplied by itself as shown
A LaTex expression showing (-2) multiplied by (-2) multiplied by (-2)
a
4
b
-2
c
-6
d
16
e
-11
f
-8
3
Find the answer when this number is multiplied by itself as shown
A LaTex expression showing (-3) multiplied by (-3) multiplied by (-3) multiplied by (-3)
a
-243
b
81
c
1
d
84
e
-12
f
-27
4
Find the answer when this number is multiplied by itself as shown
A LaTex expression showing (-11) multiplied by (-11)
a
121
b
-22
c
-11
d
14,641
e
118
f
-1,331
5
Find the answer when this number is multiplied by itself as shown
A LaTex expression showing (-4) multiplied by (-4) multiplied by (-4)
a
-1,024
b
-12
c
256
d
-64
e
-1
f
16
6
A LaTex expression showing (-2) multiplied by (-2) multiplied by (-2) multiplied by (-2) multiplied by (-2)
Find the answer when this number is multiplied by itself as shown
a
64
b
-128
c
-32
d
3
e
-10
f
16
7
Find the answer when this number is multiplied by itself as shown
A LaTex expression showing (-3) multiplied by (-3) multiplied by (-3)
a
-243
b
-27
c
-24
d
-9
e
0
f
9