HomePricing

Exponents - 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.

View Unit

Negative One Exponents with Fractional 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

(72)−1(\frac{7}{2})^{-1}

Exponents - Negative One Exponents with Fractional Base Worksheet

Mobius Math Club logo
Math worksheet on 'Exponents - Negative One Exponents with Fractional Base (Level 1)'. Part of a broader unit on 'Exponents - Negative and Fractional Bases and Exponents' Learn online: app.mobius.academy/math/units/exponents_negative_and_fractional_bases_review/
1
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 -2 over 7
c A LaTex expression showing -2
d A LaTex expression showing 1
e A LaTex expression showing 7 over 2
f A LaTex expression showing 0
2
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 1 over 5
b A LaTex expression showing 5 over 2
c A LaTex expression showing -2
d A LaTex expression showing 1
e A LaTex expression showing 2 over 0
f A LaTex expression showing 0
3
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (2 over 3 ) to the power of -1
a A LaTex expression showing -2 over 0
b A LaTex expression showing 3 over 2
c A LaTex expression showing 1 over 0
d A LaTex expression showing 1
e A LaTex expression showing 0
f A LaTex expression showing 1 over 3
4
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (5 over 3 ) to the power of -1
a A LaTex expression showing -3 over 3
b A LaTex expression showing 3 over 5
c A LaTex expression showing 4 over 2
d A LaTex expression showing 3 over 0
e A LaTex expression showing 1 over 0
f A LaTex expression showing 3
5
Find the answer when this fraction is raised to its exponent
A LaTex expression showing (3 over 11 ) to the power of -1
a A LaTex expression showing 11 over 3
b A LaTex expression showing -3 over -3
c A LaTex expression showing 0
d A LaTex expression showing 1 over -11
e A LaTex expression showing -3 over -11
f A LaTex expression showing 1
6
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 2 over 7
b A LaTex expression showing -3
c A LaTex expression showing 1
d A LaTex expression showing 0
e A LaTex expression showing 6
f A LaTex expression showing -7 over 0
7
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 4
b A LaTex expression showing 1
c A LaTex expression showing 3 over 0
d A LaTex expression showing 1 over 0
e A LaTex expression showing -3 over -2
f A LaTex expression showing 2 over 5