Negative Fractional Base (Expanded Fraction) (Level 3)

This math topic focuses on solving problems involving the multiplication of negative fractional bases. Each question presents an expression in a fractional format where both the numerator and the denominator are negative integers, and the students are required to find the final product of these fractions. The questions help students practice simplification of negative fractions, a fundamental skill in algebra, especially when dealing with powers and roots within the broader context of exponents. This includes determining the correct sign of the answer and reducing the fractions to their simplest form.

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

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Exponents - Negative Fractional Base (Expanded Fraction) Worksheet

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Exponents - Negative Fractional Base (Expanded Fraction)
1
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-10 over 8 ) times (-10 over 8 )
a A LaTex expression showing -1,000 over 8
b A LaTex expression showing -20 over 512
c A LaTex expression showing -10
d A LaTex expression showing 10,000 over 16
e A LaTex expression showing -10 over 4,096
f A LaTex expression showing 100 over 64
2
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-9 over 8 ) times (-9 over 8 )
a A LaTex expression showing -18 over 10
b A LaTex expression showing -18 over 67
c A LaTex expression showing 6,561 over 67
d A LaTex expression showing 81 over 64
e A LaTex expression showing 1 over 61
f A LaTex expression showing 1 over 16
3
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-2 over 9 ) times (-2 over 9 )
a A LaTex expression showing 4 over 81
b A LaTex expression showing -2 over 729
c A LaTex expression showing 16 over 84
d A LaTex expression showing -8 over 9
e A LaTex expression showing 16 over 6,561
f A LaTex expression showing 0
4
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-10 over 6 ) times (-10 over 6 )
a A LaTex expression showing 100 over 36
b A LaTex expression showing 103 over 216
c A LaTex expression showing -20 over 8
d A LaTex expression showing 1 over 216
e A LaTex expression showing -20 over 1,296
f A LaTex expression showing -20
5
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-10 over 5 ) times (-10 over 5 )
a A LaTex expression showing 100 over 25
b A LaTex expression showing -10 over 22
c A LaTex expression showing -20 over 125
d A LaTex expression showing -1,000 over 7
e A LaTex expression showing 10,000
f A LaTex expression showing -10 over 125
6
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-3 over 6 ) times (-3 over 6 ) times (-3 over 6 )
a A LaTex expression showing 9 over 1,296
b A LaTex expression showing 0
c A LaTex expression showing -30 over 219
d A LaTex expression showing -3 over 36
e A LaTex expression showing 81 over 7,776
f A LaTex expression showing -27 over 216
7
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-7 over 9 ) times (-7 over 9 )
a A LaTex expression showing -14 over 18
b A LaTex expression showing -343 over 729
c A LaTex expression showing 49 over 81
d A LaTex expression showing -14
e A LaTex expression showing -7 over 11
f A LaTex expression showing -343 over 9
8
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-5 over 11 ) times (-5 over 11 )
a A LaTex expression showing -10 over 22
b A LaTex expression showing 25 over 121
c A LaTex expression showing 1
d A LaTex expression showing -10
e A LaTex expression showing -3 over 14,641
f A LaTex expression showing 1 over 22