Exponents - 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.

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

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Negative Fractional Base (Expanded Fraction)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the answer when this fraction is multiplied as shown

(−26)⋅(−26)(\frac{-2}{6}) \cdot (\frac{-2}{6})

Exponents - Negative Fractional Base (Expanded Fraction) Worksheet

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Math worksheet on 'Exponents - Negative Fractional Base (Expanded Fraction) (Level 1)'. Part of a broader unit on 'Exponents - Fractional Bases and Exponents - Intro' Learn online: app.mobius.academy/math/units/exponents_fractional_bases_and_exponents_intro/
1
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-2 over 3 ) times (-2 over 3 )
a A LaTex expression showing -8 over 3
b A LaTex expression showing -4 over 27
c A LaTex expression showing -8
d A LaTex expression showing -8 over 81
e A LaTex expression showing 4 over 9
f A LaTex expression showing -4 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 -27 over 5
b A LaTex expression showing 81
c A LaTex expression showing 9 over 25
d A LaTex expression showing -27 over 125
e A LaTex expression showing 81 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 (-4 over 6 ) times (-4 over 6 )
a A LaTex expression showing -64 over 6
b A LaTex expression showing 16 over 36
c A LaTex expression showing -4 over 12
d A LaTex expression showing 13 over 216
e A LaTex expression showing -4 over 216
f A LaTex expression showing -4 over 6
4
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-5 over 6 ) times (-5 over 6 )
a A LaTex expression showing 22 over 39
b A LaTex expression showing 625 over 8
c A LaTex expression showing -125 over 33
d A LaTex expression showing 1 over 12
e A LaTex expression showing 25 over 36
f A LaTex expression showing 625 over 33
5
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 -6 over 6
b A LaTex expression showing -12 over 6
c A LaTex expression showing 36 over 9
d A LaTex expression showing 1 over 12
e A LaTex expression showing -6 over 81
f A LaTex expression showing -6 over 3
6
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-5 over 3 ) times (-5 over 3 )
a A LaTex expression showing 25 over 9
b A LaTex expression showing 625 over 3
c A LaTex expression showing -10 over 12
d A LaTex expression showing 625 over 5
e A LaTex expression showing -5 over 6
f A LaTex expression showing -5
7
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-4 over 3 ) times (-4 over 3 )
a A LaTex expression showing -8
b A LaTex expression showing 16 over 9
c A LaTex expression showing -64 over 12
d A LaTex expression showing 13 over 6
e A LaTex expression showing -4 over 6
f A LaTex expression showing -2 over 27