Negative Exponents, Negative Base (Level 2)

This topic focuses on the calculation of exponents with negative bases and exponents. It includes problems that involve calculating the outcome when negative bases are raised to negative exponents at level 2 difficulty. Each question presents a mathematical expression along with multiple choice answers, requiring the application of advanced exponentiation rules such as dealing with negative values in both bases and exponents. This topic extends the regular exponentiation concept by incorporating negative values, which is a crucial skill in handling exponential expressions in advanced mathematics.

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

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Exponents - Negative Exponents, Negative Base Worksheet

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Math worksheet on 'Exponents - Negative Exponents, Negative Base (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 raised to its exponent
A LaTex expression showing (-3) to the power of -4
a A LaTex expression showing -1 over 84
b A LaTex expression showing 1 over 81
c A LaTex expression showing -1 over 27
d A LaTex expression showing 1 over 12
e A LaTex expression showing 1 over 9
f A LaTex expression showing -1 over 7
2
Find the answer when this number is raised to its exponent
A LaTex expression showing (-8) to the power of -2
a A LaTex expression showing -1 over 512
b A LaTex expression showing 1 over 1
c A LaTex expression showing 1 over 64
d A LaTex expression showing 1 over 67
e A LaTex expression showing -1 over 1
f A LaTex expression showing 1 over 10
3
Find the answer when this number is raised to its exponent
A LaTex expression showing (-12) to the power of -2
a A LaTex expression showing -1 over 24
b A LaTex expression showing 1 over 1728
c A LaTex expression showing 1 over 14
d A LaTex expression showing -1 over 141
e A LaTex expression showing -1 over 20736
f A LaTex expression showing 1 over 144
4
Find the answer when this number is raised to its exponent
A LaTex expression showing (-2) to the power of -3
a A LaTex expression showing -1 over 2
b A LaTex expression showing 1 over 32
c A LaTex expression showing -1 over 4
d A LaTex expression showing -1 over 5
e A LaTex expression showing 1 over 6
f A LaTex expression showing -1 over 8
5
Find the answer when this number is raised to its exponent
A LaTex expression showing (-11) to the power of -2
a A LaTex expression showing 1 over 121
b A LaTex expression showing 1 over 118
c A LaTex expression showing -1 over 118
d A LaTex expression showing -1 over 1
e A LaTex expression showing 1 over 13
f A LaTex expression showing 1 over 22
6
Find the answer when this number is raised to its exponent
A LaTex expression showing (-5) to the power of -2
a A LaTex expression showing -1 over 28
b A LaTex expression showing -1 over 10
c A LaTex expression showing -1 over 625
d A LaTex expression showing 1 over 25
e A LaTex expression showing 1 over 28
f A LaTex expression showing -1 over 7
7
Find the answer when this number is raised to its exponent
A LaTex expression showing (-5) to the power of -3
a A LaTex expression showing 1 over 25
b A LaTex expression showing -1 over 15
c A LaTex expression showing 1 over 625
d A LaTex expression showing -1 over 3125
e A LaTex expression showing -1 over 125
f A LaTex expression showing 1 over 15
Exponents - Negative Exponents, Negative Base (Level 2) - Mobius Math