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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Exponents - Negative Exponents, Negative Base
1
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 118
b A LaTex expression showing -1 over 1
c A LaTex expression showing 1 over 13
d A LaTex expression showing 1 over 22
e A LaTex expression showing 1 over 121
f A LaTex expression showing -1 over 118
2
Find the answer when this number is raised to its exponent
A LaTex expression showing (-10) to the power of -2
a A LaTex expression showing 1 over 10
b A LaTex expression showing 1 over 100
c A LaTex expression showing 1 over 20
d A LaTex expression showing -1 over 103
e A LaTex expression showing -1 over 1000
f A LaTex expression showing -1 over 20
3
Find the answer when this number is raised to its exponent
A LaTex expression showing (-2) to the power of -4
a A LaTex expression showing -1 over 6
b A LaTex expression showing -1 over 32
c A LaTex expression showing 1 over 8
d A LaTex expression showing -1 over 4
e A LaTex expression showing 1 over 16
f A LaTex expression showing 1 over 64
4
Find the answer when this number is raised to its exponent
A LaTex expression showing (-6) to the power of -2
a A LaTex expression showing -1 over 12
b A LaTex expression showing 1 over 39
c A LaTex expression showing -1 over 8
d A LaTex expression showing 1 over 216
e A LaTex expression showing 1 over 36
f A LaTex expression showing 1 over 12
5
Find the answer when this number is raised to its exponent
A LaTex expression showing (-9) to the power of -2
a A LaTex expression showing 1 over 11
b A LaTex expression showing -1 over 84
c A LaTex expression showing -1 over 729
d A LaTex expression showing 1 over 18
e A LaTex expression showing -1 over 6561
f A LaTex expression showing 1 over 81
6
Find the answer when this number is raised to its exponent
A LaTex expression showing (-7) to the power of -2
a A LaTex expression showing -1 over 7
b A LaTex expression showing 1 over 343
c A LaTex expression showing -1 over 343
d A LaTex expression showing 1 over 7
e A LaTex expression showing 1 over 49
f A LaTex expression showing -1 over 9
7
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 10
b A LaTex expression showing 1 over 64
c A LaTex expression showing -1 over 512
d A LaTex expression showing -1 over 1
e A LaTex expression showing 1 over 1
f A LaTex expression showing 1 over 67
8
Find the answer when this number is raised to its exponent
A LaTex expression showing (-3) to the power of -2
a A LaTex expression showing 1 over 6
b A LaTex expression showing 1 over 27
c A LaTex expression showing 1 over 9
d A LaTex expression showing 1 over 3
e A LaTex expression showing -1 over 3
f A LaTex expression showing -1 over 12