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Exponents - 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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Negative Exponents

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

7−27^{-2}

Exponents - Negative Exponents Worksheet

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Math worksheet on 'Exponents - Negative Exponents (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 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 100
d A LaTex expression showing 1 over 20
e A LaTex expression showing 1 over 1
f A LaTex expression showing 1 over 10
2
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 32
b A LaTex expression showing 32
c A LaTex expression showing 1 over 29
d A LaTex expression showing 1 over 16
e A LaTex expression showing 1 over 64
f A LaTex expression showing 1 over 10
3
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 6
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1 over 13
d A LaTex expression showing 1 over 1
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 5 to the power of -3
a A LaTex expression showing 1 over 125
b A LaTex expression showing 1 over 8
c A LaTex expression showing 1 over 15
d A LaTex expression showing 1 over 625
e A LaTex expression showing 1 over 3125
f A LaTex expression showing 1 over 25
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 729
b A LaTex expression showing 1 over 78
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over 84
e A LaTex expression showing 1 over 18
f A LaTex expression showing 1 over 81
6
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 16
b A LaTex expression showing 1 over 512
c A LaTex expression showing 1 over 64
d A LaTex expression showing 1 over 4096
e A LaTex expression showing 1 over 8
f A LaTex expression showing 1 over 10
7
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 36
b A LaTex expression showing 1 over 6
c A LaTex expression showing 1 over 216
d A LaTex expression showing 1 over 12
e A LaTex expression showing 1 over 36
f A LaTex expression showing 1 over 8