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Exponents - Negative Fractional Base (Level 3)

This math topic focuses on practicing the calculation of exponents with negative fractional bases. It builds skills in simplifying expressions where negative fractions are raised to various powers. Each problem presents a different negative fractional base raised to an exponent and multiple answer choices representing the possible outcomes of these operations. The challenges range from direct squaring to raising fractions to higher powers like cubed values. The difficulty level is positioned as Level 3, indicating more complex understanding and computation are needed within the broader unit on negative and fractional bases and exponents.

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

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Negative Fractional Base

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Find the answer when this fraction is raised to its exponent

(−1110)2(\frac{-11}{10})^{2}

Exponents - Negative Fractional Base Worksheet

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Math worksheet on 'Exponents - Negative Fractional Base (Level 3)'. 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 fraction is raised to its exponent
A LaTex expression showing (-8 over 11 ) to the power of 2
a A LaTex expression showing -8 over 22
b A LaTex expression showing 64 over 121
c A LaTex expression showing -512 over 11
d A LaTex expression showing -6 over 22
e A LaTex expression showing -512 over 13
f A LaTex expression showing -6
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-5 over 11 ) to the power of 2
a A LaTex expression showing 1 over 1,331
b A LaTex expression showing 25 over 121
c A LaTex expression showing 625 over 22
d A LaTex expression showing -3 over 14,641
e A LaTex expression showing -10 over 1,331
f A LaTex expression showing -125 over 1,331
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-5 over 2 ) to the power of 3
a A LaTex expression showing -125 over 8
b A LaTex expression showing 625 over 16
c A LaTex expression showing -5 over 5
d A LaTex expression showing -2 over 5
e A LaTex expression showing -3,125 over 32
f A LaTex expression showing -15 over 6
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-5 over 9 ) to the power of 2
a A LaTex expression showing -3 over 9
b A LaTex expression showing -10
c A LaTex expression showing -125 over 11
d A LaTex expression showing 25 over 81
e A LaTex expression showing -5 over 729
f A LaTex expression showing -5 over 9
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-10 over 8 ) to the power of 2
a A LaTex expression showing -20 over 4,096
b A LaTex expression showing -20 over 8
c A LaTex expression showing 10,000 over 67
d A LaTex expression showing -8 over 10
e A LaTex expression showing 100 over 64
f A LaTex expression showing -10 over 16
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-4 over 9 ) to the power of 2
a A LaTex expression showing -2 over 18
b A LaTex expression showing 19 over 18
c A LaTex expression showing -8 over 11
d A LaTex expression showing 16 over 81
e A LaTex expression showing -2 over 6,561
f A LaTex expression showing 1 over 9
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-10 over 6 ) to the power of 2
a A LaTex expression showing 100 over 36
b A LaTex expression showing -10 over 216
c A LaTex expression showing -8 over 6
d A LaTex expression showing -20 over 216
e A LaTex expression showing -10 over 12
f A LaTex expression showing -20 over 8