Negative Fractional Exponents with Square Integer Base - Exponent to Answer (Level 2)

This math topic focuses on solving expressions involving negative fractional exponents with square integer bases, transforming them into simplified radical forms. The problems require evaluating integer bases, like 4, 16, 81, and others, raised to negative fractional powers, such as \(-\frac{1}{2}\), \(-\frac{1}{3}\), and similar. Each question presents multiple-choice answers, with each choice indicating the simplified radical form of the original exponent expression. This helps to practice understanding and simplifying negative fractional exponents.

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

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Exponents - Negative Fractional Exponents with Square Integer Base - Exponent to Answer Worksheet

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Exponents - Negative Fractional Exponents with Square Integer Base - Exponent to Answer
1
Find the answer when this number is raised to its exponent
A LaTex expression showing 8 to the power of (-1 over 3 )
a A LaTex expression showing 1 over 23-th root of 2
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1 over 4
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 2
f A LaTex expression showing 1 over 23-th root of 4
2
Find the answer when this number is raised to its exponent
A LaTex expression showing 4 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1 over 2
d A LaTex expression showing 1 over 5
e A LaTex expression showing 1 over 1
f A LaTex expression showing 1 over 2square root of 2
3
Find the answer when this number is raised to its exponent
A LaTex expression showing 36 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 2
b A LaTex expression showing 1 over 1
c A LaTex expression showing 1 over 5
d A LaTex expression showing 1 over 4
e A LaTex expression showing 1 over 6
f A LaTex expression showing 1 over 3
4
Find the answer when this number is raised to its exponent
A LaTex expression showing 125 to the power of (-1 over 3 )
a A LaTex expression showing 1 over 53-th root of 2
b A LaTex expression showing 1 over 1
c A LaTex expression showing 1 over 3
d A LaTex expression showing 1 over 4
e A LaTex expression showing 1 over 2
f A LaTex expression showing 1 over 5
5
Find the answer when this number is raised to its exponent
A LaTex expression showing 81 to the power of (-1 over 4 )
a A LaTex expression showing 1 over 4
b A LaTex expression showing 1 over 2
c A LaTex expression showing 1 over 5
d A LaTex expression showing 1 over 3
e A LaTex expression showing 1 over 1
6
Find the answer when this number is raised to its exponent
A LaTex expression showing 64 to the power of (-1 over 3 )
a A LaTex expression showing 1 over 2
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over 4
e A LaTex expression showing 1 over 43-th root of 2
f A LaTex expression showing 1 over 5
7
Find the answer when this number is raised to its exponent
A LaTex expression showing 32 to the power of (-1 over 5 )
a A LaTex expression showing 1 over 5
b A LaTex expression showing 1 over 25-th root of 2
c A LaTex expression showing 1 over 3
d A LaTex expression showing 1 over 25-th root of 4
e A LaTex expression showing 1 over 2
f A LaTex expression showing 1 over 1
8
Find the answer when this number is raised to its exponent
A LaTex expression showing 16 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 2
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1 over 5
d A LaTex expression showing 1 over 4square root of 2
e A LaTex expression showing 1 over 4square root of 3
f A LaTex expression showing 1 over 1