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Exponents - Negative Unit Fraction Base (Level 3)

This math topic focuses on the practice of calculating the powers of negative unit fractions. Each question presents a negative fractional base raised to an integer exponent, and students are tasked with finding the resulting value from multiple choice answers. The problems cover a range of bases and exponent values, consolidating the understanding of how negative signs and fractional bases are manipulated in powers. This requires knowledge of exponentiation rules, fraction arithmetic, and the effects of raising negative numbers to different powers.

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

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Negative Unit Fraction Base

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


Find the answer when this fraction is raised to its exponent

(−12)5(\frac{-1}{2})^{5}

Exponents - Negative Unit Fraction Base Worksheet

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Math worksheet on 'Exponents - Negative Unit Fraction Base (Level 3)'. 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 raised to its exponent
A LaTex expression showing (-1 over 9 ) to the power of 2
a A LaTex expression showing 1 over 81
b A LaTex expression showing -2
c A LaTex expression showing -2 over 9
d A LaTex expression showing 4 over 729
e A LaTex expression showing 1 over 729
f A LaTex expression showing -1 over 11
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-1 over 5 ) to the power of 3
a A LaTex expression showing -3 over 8
b A LaTex expression showing -1 over 125
c A LaTex expression showing -3 over 15
d A LaTex expression showing 1 over 15
e A LaTex expression showing -3 over 625
f A LaTex expression showing -1 over 625
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-1 over 2 ) to the power of 4
a A LaTex expression showing 1 over 6
b A LaTex expression showing 1 over 32
c A LaTex expression showing 4 over 8
d A LaTex expression showing -4 over 8
e A LaTex expression showing 1 over 16
f A LaTex expression showing -1 over 8
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-1 over 10 ) to the power of 2
a A LaTex expression showing -2 over 20
b A LaTex expression showing -1 over 20
c A LaTex expression showing 1 over 100
d A LaTex expression showing -2 over 1,000
e A LaTex expression showing 1 over 10
f A LaTex expression showing -1 over 10
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-1 over 11 ) to the power of 2
a A LaTex expression showing 1 over 121
b A LaTex expression showing -1 over 118
c A LaTex expression showing 1 over 1,331
d A LaTex expression showing -1 over 22
e A LaTex expression showing -1 over 13
f A LaTex expression showing -1
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-1 over 3 ) to the power of 4
a A LaTex expression showing -1 over 12
b A LaTex expression showing 1 over 81
c A LaTex expression showing 1 over 27
d A LaTex expression showing -4 over 7
e A LaTex expression showing 1 over 9
f A LaTex expression showing -1 over 9
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (-1 over 6 ) to the power of 3
a A LaTex expression showing 2 over 6
b A LaTex expression showing 1 over 18
c A LaTex expression showing 1 over 36
d A LaTex expression showing -1 over 219
e A LaTex expression showing 1 over 6
f A LaTex expression showing -1 over 216