Negative Unit Fraction Base (Expanded Fraction) (Level 2)

This math topic focuses on operations with negative unit fraction bases, specifically through multiplication to form powers. The problems involve multiplying negative fractional bases multiple times and selecting the correct outcome among given options. The core skill practiced is handling exponents with negative fractional bases, which is foundational in understanding more complex algebraic concepts involving powers and roots. Each problem presents multiple-choice answers, sharpening students' ability to calculate and simplify fractional exponents accurately. This topic is part of a broader introduction to exponents and fractional bases.

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

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Exponents - Negative Unit Fraction Base (Expanded Fraction) Worksheet

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Math worksheet on 'Exponents - Negative Unit Fraction Base (Expanded Fraction) (Level 2)'. Part of a broader unit on 'Exponents - Fractional Bases and Exponents - Practice' Learn online: app.mobius.academy/math/units/exponents_fractional_bases_and_exponents_practice/
1
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-1 over 3 ) times (-1 over 3 ) times (-1 over 3 )
a A LaTex expression showing -1 over 9
b A LaTex expression showing 1 over 30
c A LaTex expression showing 1 over 9
d A LaTex expression showing 2 over 81
e A LaTex expression showing 2 over 9
f A LaTex expression showing -1 over 27
2
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-1 over 7 ) times (-1 over 7 )
a A LaTex expression showing 1
b A LaTex expression showing -1 over 343
c A LaTex expression showing 4 over 9
d A LaTex expression showing -1 over 2,401
e A LaTex expression showing -2 over 9
f A LaTex expression showing 1 over 49
3
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-1 over 4 ) times (-1 over 4 ) times (-1 over 4 )
a A LaTex expression showing -3 over 256
b A LaTex expression showing 1 over 1,024
c A LaTex expression showing 1 over 4
d A LaTex expression showing 1 over 12
e A LaTex expression showing -1 over 64
f A LaTex expression showing -3 over 12
4
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-1 over 8 ) times (-1 over 8 )
a A LaTex expression showing 1 over 4,096
b A LaTex expression showing 1
c A LaTex expression showing -2 over 512
d A LaTex expression showing -2 over 16
e A LaTex expression showing 1 over 64
f A LaTex expression showing -1 over 8
5
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (-1 over 2 ) times (-1 over 2 ) times (-1 over 2 )
a A LaTex expression showing 2 over 32
b A LaTex expression showing -1 over 8
c A LaTex expression showing 1 over 16
d A LaTex expression showing -4 over 6
e A LaTex expression showing 1 over 32
f A LaTex expression showing -1 over 16
Exponents - Negative Unit Fraction Base (Expanded Fraction) (Level 2) - Mobius Math