Negative Fractional Exponents with Non-Square Integer Base - Exponent to Simplified Radical (Level 2)

This math topic focuses on understanding and solving problems related to negative fractional exponents with non-square integer bases, converting these expressions to simplified radicals. It encompasses multiple-choice questions where learners must evaluate various bases raised to fractional negative powers, requiring them to simplify the exponents to their radical forms. This involves critical thinking and a solid grasp of both radical and exponential expressions. This subject is a subset of a broader module on negative, fractional, and power laws of exponents, providing a deeper exploration of exponent manipulation and evaluation.

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

more
View

Exponents - Negative Fractional Exponents with Non-Square Integer Base - Exponent to Simplified Radical Worksheet

Mobius Math Academy logo
Exponents - Negative Fractional Exponents with Non-Square Integer Base - Exponent to Simplified Radical
1
Find the answer when this number is raised to its exponent
A LaTex expression showing 72 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 6square root of 3
b A LaTex expression showing 1 over 3square root of 2
c A LaTex expression showing 1 over 6square root of 4
d A LaTex expression showing 1 over 2square root of 2
e A LaTex expression showing 1 over 6square root of 2
f A LaTex expression showing 1 over square root of 2
2
Find the answer when this number is raised to its exponent
A LaTex expression showing 20 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 2
b A LaTex expression showing 1 over 5square root of 5
c A LaTex expression showing 1 over square root of 5
d A LaTex expression showing 1 over 4square root of 5
e A LaTex expression showing 1 over 2square root of 5
f A LaTex expression showing 1 over 2square root of 4
3
Find the answer when this number is raised to its exponent
A LaTex expression showing 32 to the power of (-1 over 3 )
a A LaTex expression showing 1 over 23-th root of 4
b A LaTex expression showing 1 over 2
c A LaTex expression showing 1 over 53-th root of 4
d A LaTex expression showing 1 over 23-th root of 3
e A LaTex expression showing 1 over 43-th root of 4
f A LaTex expression showing 1 over 3-th root of 4
4
Find the answer when this number is raised to its exponent
A LaTex expression showing 180 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 6square root of 4
b A LaTex expression showing 1 over square root of 5
c A LaTex expression showing 1 over 3square root of 5
d A LaTex expression showing 1 over 4square root of 5
e A LaTex expression showing 1 over 6
f A LaTex expression showing 1 over 6square root of 5
5
Find the answer when this number is raised to its exponent
A LaTex expression showing 75 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 3square root of 3
b A LaTex expression showing 1 over 2square root of 3
c A LaTex expression showing 1 over 5
d A LaTex expression showing 1 over 5square root of 3
e A LaTex expression showing 1 over 5square root of 2
f A LaTex expression showing 1 over square root of 3
6
Find the answer when this number is raised to its exponent
A LaTex expression showing 96 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 4square root of 6
b A LaTex expression showing 1 over 4square root of 2
c A LaTex expression showing 1 over 5square root of 6
d A LaTex expression showing 1 over 4
e A LaTex expression showing 1 over square root of 6
f A LaTex expression showing 1 over 3square root of 6
7
Find the answer when this number is raised to its exponent
A LaTex expression showing 144 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 12square root of 2
b A LaTex expression showing 1 over 12square root of 4
c A LaTex expression showing 1 over 3
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 12square root of 3
f A LaTex expression showing 1 over 12
8
Find the answer when this number is raised to its exponent
A LaTex expression showing 54 to the power of (-1 over 3 )
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 33-th root of 4
c A LaTex expression showing 1 over 33-th root of 2
d A LaTex expression showing 1 over 43-th root of 2
e A LaTex expression showing 1 over 53-th root of 2
f A LaTex expression showing 1 over 3-th root of 2