Negative Exponents (Level 2)

This math topic focuses on practicing calculations with negative exponents. Participants are tasked with evaluating expressions where numbers are raised to negative exponents, and each problem provides multiple potential answers in fractional form. The topic is part of a broader unit on advanced exponents, designed to enhance understanding and proficiency in working with powers that yield inverse or fractional results. The problems address various base values, both simple and complex, raising them to negative powers and expecting the learner to discern and simplify the resulting expression.

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

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Exponents - Negative Exponents Worksheet

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Exponents - Negative Exponents
1
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 16
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 2
f A LaTex expression showing 1 over 5
2
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 81
c A LaTex expression showing 1 over 729
d A LaTex expression showing 1 over 84
e A LaTex expression showing 1 over 78
f A LaTex expression showing 1 over 1
3
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 7
b A LaTex expression showing 1 over 125
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over 10
e A LaTex expression showing 1 over 25
f A LaTex expression showing 1 over 5
4
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 1
c A LaTex expression showing 1 over 1000
d A LaTex expression showing 1 over 100
e A LaTex expression showing 1 over 10000
f A LaTex expression showing 1 over 20
5
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 1728
b A LaTex expression showing 144
c A LaTex expression showing 1 over 144
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 12
f A LaTex expression showing 1 over 24
6
Find the answer when this number is raised to its exponent
A LaTex expression showing 6 to the power of -3
a A LaTex expression showing 1 over 36
b A LaTex expression showing 1 over 7776
c A LaTex expression showing 1 over 9
d A LaTex expression showing 1 over 216
e A LaTex expression showing 1 over 1296
f A LaTex expression showing 1 over 18
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 9
b A LaTex expression showing 1 over 49
c A LaTex expression showing 1 over 14
d A LaTex expression showing 1 over 343
e A LaTex expression showing 1 over 52
f A LaTex expression showing 1 over 2401
8
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 9
b A LaTex expression showing 1 over 729
c A LaTex expression showing 1 over 81
d A LaTex expression showing 1 over 7
e A LaTex expression showing 1 over 12
f A LaTex expression showing 1 over 27