Negative Fractional Base (Level 1)

The math topic focuses on working with negative fractional bases raised to powers, specifically squared instances. This topic is part of a broader unit featuring fractional bases and an introduction to exponents. Learners are presented with expressions involving negative fractions raised to the power of two, and they must determine the correct answers from multiple choices. Each question provides a fractional base, such as \((-5/2)\), \((-2/3)\), \((-2/5)\), \((-4/2)\), \((-2/4)\), \((-5/6)\), and \((-6/4)\), all raised to the power of 2. The worksheet includes links to learning resources and possible answers in image format showing the results in fractions.

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 (-6 over 2 ) to the power of 2
a A LaTex expression showing -216 over 4
b A LaTex expression showing -12
c A LaTex expression showing 33 over 8
d A LaTex expression showing 1
e A LaTex expression showing 36 over 4
f A LaTex expression showing -6 over 8
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-6 over 5 ) to the power of 2
a A LaTex expression showing -4 over 5
b A LaTex expression showing -216 over 10
c A LaTex expression showing -6 over 125
d A LaTex expression showing -216 over 625
e A LaTex expression showing 1 over 28
f A LaTex expression showing 36 over 25
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-6 over 3 ) to the power of 2
a A LaTex expression showing 1,296 over 6
b A LaTex expression showing 36 over 9
c A LaTex expression showing -6 over 3
d A LaTex expression showing -6
e A LaTex expression showing -4 over 5
f A LaTex expression showing -12 over 6
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-5 over 6 ) to the power of 2
a A LaTex expression showing -10
b A LaTex expression showing -125 over 1,296
c A LaTex expression showing 25 over 36
d A LaTex expression showing -5 over 216
e A LaTex expression showing -125 over 39
f A LaTex expression showing -10 over 216
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-2 over 6 ) to the power of 2
a A LaTex expression showing 7 over 12
b A LaTex expression showing -8 over 1,296
c A LaTex expression showing -8 over 6
d A LaTex expression showing 4 over 36
e A LaTex expression showing 1 over 33
f A LaTex expression showing -2 over 12
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-3 over 5 ) to the power of 2
a A LaTex expression showing -6 over 10
b A LaTex expression showing -27 over 125
c A LaTex expression showing -1 over 125
d A LaTex expression showing -6 over 5
e A LaTex expression showing 9 over 25
f A LaTex expression showing 81 over 5
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-2 over 5 ) to the power of 2
a A LaTex expression showing -8 over 10
b A LaTex expression showing -2 over 10
c A LaTex expression showing 1
d A LaTex expression showing -4 over 625
e A LaTex expression showing 4 over 25
f A LaTex expression showing 1 over 5
8
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-4 over 2 ) to the power of 2
a A LaTex expression showing -64 over 4
b A LaTex expression showing 256 over 8
c A LaTex expression showing -8 over 7
d A LaTex expression showing -8 over 4
e A LaTex expression showing 16 over 4
f A LaTex expression showing -8 over 16