Fractional Exponents with Non-Square Integer Base - Exponent to Simplified Radical (Level 1)

This math topic focuses on the concept of fractional exponents with non-square integer bases simplified into radicals. Students are expected to calculate the simplified radical form of fractional exponents applied to various integer bases. Examples provided include finding the square root and the simplification of numerical expressions raised to fractional powers. The problems progressively build on the understanding of how to convert the exponentiation of integers into more comprehensible radical forms, enhancing skills in manipulating expressions involving powers and roots.

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

more
View

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

Mobius Math Academy logo
Exponents - 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 6square root of 2
b A LaTex expression showing 2square root of 2
c A LaTex expression showing square root of 2
d A LaTex expression showing 6
e A LaTex expression showing 6square root of 4
f A LaTex expression showing 6square root of 3
2
Find the answer when this number is raised to its exponent
A LaTex expression showing 18 to the power of (1 over 2 )
a A LaTex expression showing 5square root of 2
b A LaTex expression showing 3square root of 4
c A LaTex expression showing 2square root of 2
d A LaTex expression showing 3square root of 2
e A LaTex expression showing square root of 2
f A LaTex expression showing 3
3
Find the answer when this number is raised to its exponent
A LaTex expression showing 100 to the power of (1 over 2 )
a A LaTex expression showing 2
b A LaTex expression showing 3
c A LaTex expression showing 10
d A LaTex expression showing 1
e A LaTex expression showing 10square root of 4
f A LaTex expression showing 10square root of 2
4
Find the answer when this number is raised to its exponent
A LaTex expression showing 45 to the power of (1 over 2 )
a A LaTex expression showing 2square root of 5
b A LaTex expression showing 3square root of 3
c A LaTex expression showing square root of 5
d A LaTex expression showing 3square root of 5
e A LaTex expression showing 3
f A LaTex expression showing 3square 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 2 )
a A LaTex expression showing 4square root of 2
b A LaTex expression showing 4square root of 4
c A LaTex expression showing 4
d A LaTex expression showing 1
e A LaTex expression showing 4square root of 3
f A LaTex expression showing 5
6
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 6square root of 4
b A LaTex expression showing 6
c A LaTex expression showing 6square root of 3
d A LaTex expression showing 1
e A LaTex expression showing 4
f A LaTex expression showing 6square root of 2
7
Find the answer when this number is raised to its exponent
A LaTex expression showing 32 to the power of (1 over 2 )
a A LaTex expression showing 4
b A LaTex expression showing 2square root of 2
c A LaTex expression showing 5square root of 2
d A LaTex expression showing 4square root of 2
e A LaTex expression showing 4square root of 4
f A LaTex expression showing square root of 2
8
Find the answer when this number is raised to its exponent
A LaTex expression showing 150 to the power of (1 over 2 )
a A LaTex expression showing 5
b A LaTex expression showing 3square root of 6
c A LaTex expression showing 2square root of 6
d A LaTex expression showing 5square root of 2
e A LaTex expression showing 5square root of 6
f A LaTex expression showing square root of 6