Negative One Exponents with Fractional Base (Level 1)

This math topic focuses on the properties of exponents, specifically calculating negative one exponents with fractional bases. The problems require solving expressions where fractions are raised to the power of negative one, which involves inverting the fraction (reciprocal). Each question involves a different fractional base raised to the negative one power, and multiple choice answers are provided for students to select the correct reciprocal. This involves understanding and applying the rule that any nonzero number raised to the power of -1 is the reciprocal of that number.

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

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Exponents - Negative One Exponents with Fractional Base Worksheet

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Exponents - Negative One Exponents with Fractional Base
1
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (7 over 2 ) to the power of -1
a A LaTex expression showing -7 over 0
b A LaTex expression showing 2 over 7
c A LaTex expression showing 6
d A LaTex expression showing 1
e A LaTex expression showing 0
f A LaTex expression showing -3
2
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (7 over 3 ) to the power of -1
a A LaTex expression showing 3 over 7
b A LaTex expression showing 3 over 3
c A LaTex expression showing -7 over 3
d A LaTex expression showing 3
e A LaTex expression showing 0
f A LaTex expression showing 7 over -3
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (2 over 5 ) to the power of -1
a A LaTex expression showing 0
b A LaTex expression showing 2 over 0
c A LaTex expression showing 1
d A LaTex expression showing -2
e A LaTex expression showing 5 over 2
f A LaTex expression showing 1 over 5
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (7 over 5 ) to the power of -1
a A LaTex expression showing -7
b A LaTex expression showing 3 over 0
c A LaTex expression showing 0
d A LaTex expression showing 3 over -3
e A LaTex expression showing 6 over 0
f A LaTex expression showing 5 over 7
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (5 over 2 ) to the power of -1
a A LaTex expression showing 1 over 0
b A LaTex expression showing -3 over -2
c A LaTex expression showing 1
d A LaTex expression showing 2 over 5
e A LaTex expression showing 3 over 0
f A LaTex expression showing 4
6
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (2 over 7 ) to the power of -1
a A LaTex expression showing 1 over -7
b A LaTex expression showing 0
c A LaTex expression showing 1
d A LaTex expression showing -2 over 7
e A LaTex expression showing 7 over 2
f A LaTex expression showing -2
7
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (3 over 5 ) to the power of -1
a A LaTex expression showing 3 over 4
b A LaTex expression showing -3
c A LaTex expression showing -3 over -5
d A LaTex expression showing 0
e A LaTex expression showing 3
f A LaTex expression showing 5 over 3
8
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (5 over 11 ) to the power of -1
a A LaTex expression showing -5 over 10
b A LaTex expression showing 5 over 0
c A LaTex expression showing 0
d A LaTex expression showing 4
e A LaTex expression showing 1 over 10
f A LaTex expression showing 11 over 5