Exponent

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

(23)4(\frac{-2}{3})^{4}

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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 - Fractional Bases and Exponents - Practice' Learn online: app.mobius.academy/math/units/exponents_fractional_bases_and_exponents_practice/
1
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-7 over 9 ) to the power of 2
a A LaTex expression showing -5 over 9
b A LaTex expression showing 1 over 6,561
c A LaTex expression showing 49 over 81
d A LaTex expression showing -14 over 11
e A LaTex expression showing -7 over 11
f A LaTex expression showing -5 over 729
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 625 over 22
b A LaTex expression showing -10 over 1,331
c A LaTex expression showing 25 over 121
d A LaTex expression showing -3 over 14,641
e A LaTex expression showing 1 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 (-4 over 6 ) to the power of 3
a A LaTex expression showing -1,024 over 18
b A LaTex expression showing -1 over 6
c A LaTex expression showing -64 over 216
d A LaTex expression showing 256 over 36
e A LaTex expression showing 16 over 36
f A LaTex expression showing -1 over 7,776
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-6 over 3 ) to the power of 3
a A LaTex expression showing 36 over 243
b A LaTex expression showing -18 over 9
c A LaTex expression showing 1,296 over 6
d A LaTex expression showing -18 over 24
e A LaTex expression showing -216 over 27
f A LaTex expression showing -6 over 9
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-2 over 10 ) to the power of 2
a A LaTex expression showing -4 over 103
b A LaTex expression showing -4
c A LaTex expression showing -4 over 20
d A LaTex expression showing 4 over 100
e A LaTex expression showing -2 over 10
f A LaTex expression showing -4 over 10
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-11 over 2 ) to the power of 2
a A LaTex expression showing 121 over 4
b A LaTex expression showing -9
c A LaTex expression showing -1,331
d A LaTex expression showing -22 over 2
e A LaTex expression showing -11 over 4
f A LaTex expression showing 124 over 8
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-11 over 10 ) to the power of 2
a A LaTex expression showing -22 over 10,000
b A LaTex expression showing 118 over 1,000
c A LaTex expression showing 1 over 20
d A LaTex expression showing 121 over 100
e A LaTex expression showing -1,331 over 1,000
f A LaTex expression showing 1 over 10