Negative Exponents (Level 1)

This math topic focuses on practicing calculations with negative exponents. It includes a series of problems where numbers are raised to negative powers, such as \(9^{-2}\), \(10^{-2}\), and others up to \(4^{-2}\). Each problem presents a base number to be raised to a negative exponent and multiple answer choices, each given as fractions. The objective is to select the correct fraction that represents the value of the expression with the negative exponent.

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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Math worksheet on 'Exponents - Negative Exponents (Level 1)'. 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 5 to the power of -2
a A LaTex expression showing 1 over 1
b A LaTex expression showing 1 over 5
c A LaTex expression showing 1 over 125
d A LaTex expression showing 1 over 10
e A LaTex expression showing 1 over 7
f A LaTex expression showing 1 over 25
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 10000
b A LaTex expression showing 1 over 1000
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over 100
e A LaTex expression showing 1 over 10
f A LaTex expression showing 1 over 20
3
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 8
b A LaTex expression showing 1 over 64
c A LaTex expression showing 1 over 10
d A LaTex expression showing 1 over 4096
e A LaTex expression showing 1 over 512
f A LaTex expression showing 1 over 16
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 36
b A LaTex expression showing 36
c A LaTex expression showing 1 over 8
d A LaTex expression showing 1 over 12
e A LaTex expression showing 1 over 6
f A LaTex expression showing 1 over 216
5
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 49
b A LaTex expression showing 1 over 343
c A LaTex expression showing 1 over 52
d A LaTex expression showing 1 over 2401
e A LaTex expression showing 1 over 14
f A LaTex expression showing 1 over 9
6
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 729
b A LaTex expression showing 1 over 81
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over 18
e A LaTex expression showing 1 over 84
f A LaTex expression showing 1 over 78
7
Find the answer when this number is raised to its exponent
A LaTex expression showing 4 to the power of -2
a A LaTex expression showing 1 over 13
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1 over 16
d A LaTex expression showing 1 over 6
e A LaTex expression showing 1 over 1
f A LaTex expression showing 1 over 64