Exponents - 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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Negative Exponents, Negative Base

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


Find the answer when this number is raised to its exponent

(11)2(-11)^{-2}

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 - Negative and Fractional Bases and Exponents' Learn online: app.mobius.academy/math/units/exponents_negative_and_fractional_bases_review/
1
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 15
b A LaTex expression showing 1 over 15
c A LaTex expression showing -1 over 125
d A LaTex expression showing 1 over 625
e A LaTex expression showing -1 over 3125
f A LaTex expression showing 1 over 25
2
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 625
b A LaTex expression showing -1 over 7
c A LaTex expression showing -1 over 28
d A LaTex expression showing 1 over 28
e A LaTex expression showing -1 over 10
f A LaTex expression showing 1 over 25
3
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 12
d A LaTex expression showing -1 over 8
e A LaTex expression showing 1 over 216
f A LaTex expression showing 1 over 36
4
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 18
b A LaTex expression showing -1 over 729
c A LaTex expression showing -1 over 6561
d A LaTex expression showing -1 over 84
e A LaTex expression showing 1 over 11
f A LaTex expression showing 1 over 81
5
Find the answer when this number is raised to its exponent
A LaTex expression showing (-2) to the power of -5
a A LaTex expression showing 1 over 16
b A LaTex expression showing -1 over 64
c A LaTex expression showing -1 over 10
d A LaTex expression showing -1 over 32
e A LaTex expression showing 1 over 128
f A LaTex expression showing -1 over 35
6
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 9
b A LaTex expression showing 1 over 6
c A LaTex expression showing -1 over 3
d A LaTex expression showing 1 over 3
e A LaTex expression showing -1 over 12
f A LaTex expression showing 1 over 27
7
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 343
b A LaTex expression showing -1 over 9
c A LaTex expression showing -1 over 7
d A LaTex expression showing 1 over 7
e A LaTex expression showing 1 over 49
f A LaTex expression showing 1 over 343