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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Exponents - Negative Fractional Base
1
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-8 over 4 ) to the power of 2
a A LaTex expression showing -16
b A LaTex expression showing -8 over 19
c A LaTex expression showing -16 over 8
d A LaTex expression showing -8 over 64
e A LaTex expression showing -16 over 64
f A LaTex expression showing 64 over 16
2
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 64 over 4
b A LaTex expression showing -512 over 16
c A LaTex expression showing -6 over 4
d A LaTex expression showing -16 over 2
e A LaTex expression showing -8 over 2
f A LaTex expression showing -16 over 4
3
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
b A LaTex expression showing 36 over 64
c A LaTex expression showing -6 over 16
d A LaTex expression showing -6 over 67
e A LaTex expression showing -12 over 8
f A LaTex expression showing -12 over 4,096
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-4 over 3 ) to the power of 3
a A LaTex expression showing -64 over 27
b A LaTex expression showing -67 over 81
c A LaTex expression showing -1,024 over 3
d A LaTex expression showing -1 over 9
e A LaTex expression showing 256 over 243
f A LaTex expression showing -12 over 6
5
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 -7 over 8
b A LaTex expression showing -343 over 512
c A LaTex expression showing -5 over 16
d A LaTex expression showing 49 over 64
e A LaTex expression showing -14 over 16
f A LaTex expression showing -14 over 61
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-7 over 5 ) to the power of 2
a A LaTex expression showing 2,401 over 125
b A LaTex expression showing 49 over 25
c A LaTex expression showing -14 over 7
d A LaTex expression showing -7 over 10
e A LaTex expression showing -5 over 10
f A LaTex expression showing -7
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-3 over 7 ) to the power of 2
a A LaTex expression showing -6 over 343
b A LaTex expression showing 9 over 49
c A LaTex expression showing 81 over 14
d A LaTex expression showing 12 over 7
e A LaTex expression showing -6 over 2,401
f A LaTex expression showing -3 over 7
8
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-4 over 2 ) to the power of 3
a A LaTex expression showing 256 over 16
b A LaTex expression showing -12 over 32
c A LaTex expression showing 16 over 4
d A LaTex expression showing -12 over 6
e A LaTex expression showing 256 over 2
f A LaTex expression showing -64 over 8