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

This math topic focuses on evaluating expressions with fractional exponents, specifically involving square roots of integer bases. Each problem presents a number expressed with a fractional exponent, and the task is to simplify or calculate the result accurately. The problems feature numbers like 81, 16, 25, 9, 4, 32, and 125 raised to exponents like 1/4, 1/2, or 1/5. Multiple-choice answers follow each question, testing the student's ability to determine the correct square or nth root of each given base.

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

more
View

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

Mobius Math Academy logo
Exponents - 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 4 to the power of (1 over 2 )
a A LaTex expression showing 2
b A LaTex expression showing 2square root of 2
c A LaTex expression showing 2square root of 4
d A LaTex expression showing 5
e A LaTex expression showing 3
f A LaTex expression showing 1
2
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 4
b A LaTex expression showing 2
c A LaTex expression showing 34-th root of 3
d A LaTex expression showing 1
e A LaTex expression showing 3
f A LaTex expression showing 5
3
Find the answer when this number is raised to its exponent
A LaTex expression showing 216 to the power of (1 over 3 )
a A LaTex expression showing 5
b A LaTex expression showing 6
c A LaTex expression showing 63-th root of 2
d A LaTex expression showing 4
e A LaTex expression showing 63-th root of 4
f A LaTex expression showing 1
4
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 5
b A LaTex expression showing 4
c A LaTex expression showing 1
d A LaTex expression showing 3
e A LaTex expression showing 43-th root of 4
f A LaTex expression showing 43-th root of 2
5
Find the answer when this number is raised to its exponent
A LaTex expression showing 16 to the power of (1 over 4 )
a A LaTex expression showing 2
b A LaTex expression showing 24-th root of 3
c A LaTex expression showing 1
d A LaTex expression showing 5
e A LaTex expression showing 4
f A LaTex expression showing 3
6
Find the answer when this number is raised to its exponent
A LaTex expression showing 27 to the power of (1 over 3 )
a A LaTex expression showing 33-th root of 4
b A LaTex expression showing 4
c A LaTex expression showing 5
d A LaTex expression showing 33-th root of 2
e A LaTex expression showing 1
f A LaTex expression showing 3
7
Find the answer when this number is raised to its exponent
A LaTex expression showing 25 to the power of (1 over 2 )
a A LaTex expression showing 1
b A LaTex expression showing 3
c A LaTex expression showing 2
d A LaTex expression showing 5square root of 2
e A LaTex expression showing 5
f A LaTex expression showing 5square root of 3
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 4square root of 3
b A LaTex expression showing 1
c A LaTex expression showing 5
d A LaTex expression showing 3
e A LaTex expression showing 2
f A LaTex expression showing 4