Negative Fractional Base (Expanded Fraction) (Level 1)

This math topic focuses on the crucial skill of handling exponents with negative fractional bases, which expands to manipulating powers and roots involving negative fractions. The problems require evaluating expressions like "(-4 over 2) times (-4 over 2)," requiring students to navigate the complexities of fractional powers, sign rules for negative bases, and multiplication of fractions. Each question provides multiple answer choices, testing the student's ability to correctly execute and simplify these power expressions accurately. This category is part of a more extensive unit introducing the concepts of fractional bases in exponents.

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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 (-4 over 6 ) times (-4 over 6 )
a A LaTex expression showing -4 over 12
b A LaTex expression showing -4 over 216
c A LaTex expression showing 16 over 36
d A LaTex expression showing 13 over 216
e A LaTex expression showing -4 over 6
f A LaTex expression showing -64 over 6
2
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-3 over 5 ) times (-3 over 5 )
a A LaTex expression showing 81
b A LaTex expression showing -27 over 5
c A LaTex expression showing 81 over 125
d A LaTex expression showing 9 over 25
e A LaTex expression showing -27 over 125
f A LaTex expression showing 1 over 10
3
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-6 over 3 ) times (-6 over 3 )
a A LaTex expression showing 1 over 12
b A LaTex expression showing -6 over 81
c A LaTex expression showing -12 over 6
d A LaTex expression showing 36 over 9
e A LaTex expression showing -6 over 3
f A LaTex expression showing -6 over 6
4
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-2 over 6 ) times (-2 over 6 )
a A LaTex expression showing -4 over 6
b A LaTex expression showing -4 over 216
c A LaTex expression showing -8 over 39
d A LaTex expression showing 4 over 36
e A LaTex expression showing 16 over 12
f A LaTex expression showing 16 over 8
5
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-2 over 4 ) times (-2 over 4 )
a A LaTex expression showing 16 over 8
b A LaTex expression showing -8 over 19
c A LaTex expression showing -4 over 19
d A LaTex expression showing -4 over 64
e A LaTex expression showing -8 over 6
f A LaTex expression showing 4 over 16
6
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-3 over 4 ) times (-3 over 4 )
a A LaTex expression showing -27 over 8
b A LaTex expression showing -3
c A LaTex expression showing -3 over 4
d A LaTex expression showing 9 over 16
e A LaTex expression showing 81 over 4
f A LaTex expression showing -6
7
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-4 over 2 ) times (-4 over 2 )
a A LaTex expression showing -4 over 2
b A LaTex expression showing 1 over 8
c A LaTex expression showing -64
d A LaTex expression showing -8 over 7
e A LaTex expression showing 16 over 4
f A LaTex expression showing 1 over 2
8
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-5 over 4 ) times (-5 over 4 )
a A LaTex expression showing 25 over 16
b A LaTex expression showing 28 over 13
c A LaTex expression showing 625 over 19
d A LaTex expression showing -10 over 4
e A LaTex expression showing -10 over 6
f A LaTex expression showing -5 over 256