Negative Fractional Base (Level 2)

This math topic focuses on the application and understanding of exponents with negative fractional bases. The problems require calculating the results of negative fractions raised to positive exponents. Students are presented with various fractions like \(-\frac{2}{7}\), \(-\frac{7}{4}\), \(-\frac{7}{5}\), \(-\frac{8}{6}\), \(-\frac{2}{3}\), \(-\frac{6}{7}\), and \(-\frac{3}{7}\), all raised to certain powers, and they must determine the correct outcome from multiple choices provided for each question. This is designed to build proficiency in managing fractional bases with negative numbers in exponentiation scenarios.

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

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Exponents - Negative Fractional Base Worksheet

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Math worksheet on 'Exponents - Negative Fractional Base (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 fraction is raised to its exponent
A LaTex expression showing (-7 over 8 ) to the power of 2
a A LaTex expression showing 49 over 64
b A LaTex expression showing -5 over 16
c A LaTex expression showing -343 over 512
d A LaTex expression showing -14 over 61
e A LaTex expression showing -7 over 8
f A LaTex expression showing -14 over 16
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-8 over 5 ) to the power of 2
a A LaTex expression showing 4,096 over 7
b A LaTex expression showing -6 over 10
c A LaTex expression showing 64 over 25
d A LaTex expression showing 61 over 125
e A LaTex expression showing 1 over 125
f A LaTex expression showing -16 over 5
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-2 over 8 ) to the power of 2
a A LaTex expression showing -2 over 8
b A LaTex expression showing -2 over 16
c A LaTex expression showing 16 over 8
d A LaTex expression showing 0
e A LaTex expression showing 4 over 64
f A LaTex expression showing -2
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-8 over 6 ) to the power of 2
a A LaTex expression showing -8 over 216
b A LaTex expression showing -16 over 12
c A LaTex expression showing -8 over 6
d A LaTex expression showing 1 over 6
e A LaTex expression showing 4,096 over 33
f A LaTex expression showing 64 over 36
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-7 over 4 ) to the power of 2
a A LaTex expression showing -14 over 19
b A LaTex expression showing -7 over 6
c A LaTex expression showing 46 over 256
d A LaTex expression showing 1 over 8
e A LaTex expression showing 49 over 16
f A LaTex expression showing -14 over 8
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-8 over 2 ) to the power of 2
a A LaTex expression showing -512 over 16
b A LaTex expression showing 64 over 4
c A LaTex expression showing -16 over 2
d A LaTex expression showing -6 over 4
e A LaTex expression showing -8 over 2
f A LaTex expression showing -16 over 4
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-6 over 8 ) to the power of 2
a A LaTex expression showing -12 over 4,096
b A LaTex expression showing -6 over 67
c A LaTex expression showing -12 over 8
d A LaTex expression showing 36 over 64
e A LaTex expression showing -12
f A LaTex expression showing -6 over 16