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

This math topic focuses on the manipulation and simplification of expressions involving negative fractional exponents with non-square integer bases. Each question presents a number raised to a power represented as a negative fractional exponent and requires simplifying the expression to a radical form. The skills practiced include understanding the properties of exponents, particularly negative and fractional exponents, and converting these expressions into simplified radicals.

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

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

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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 16 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 4
d A LaTex expression showing 1 over 3
e A LaTex expression showing 1 over 4square root of 3
f A LaTex expression showing 1 over 4square root of 2
2
Find the answer when this number is raised to its exponent
A LaTex expression showing 108 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 6
b A LaTex expression showing 1 over square root of 3
c A LaTex expression showing 1 over 2square root of 3
d A LaTex expression showing 1 over 4square root of 3
e A LaTex expression showing 1 over 5square root of 3
f A LaTex expression showing 1 over 6square root of 3
3
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 1 over 4
b A LaTex expression showing 1 over 4square root of 2
c A LaTex expression showing 1 over 3square root of 2
d A LaTex expression showing 1 over 5square root of 2
e A LaTex expression showing 1 over 2square root of 2
f A LaTex expression showing 1 over square root of 2
4
Find the answer when this number is raised to its exponent
A LaTex expression showing 80 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 2square root of 5
b A LaTex expression showing 1 over 4square root of 4
c A LaTex expression showing 1 over square root of 5
d A LaTex expression showing 1 over 3square root of 5
e A LaTex expression showing 1 over 4square root of 5
f A LaTex expression showing 1 over 4
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 5
b A LaTex expression showing 1 over 3square root of 3
c A LaTex expression showing 1 over 5square root of 3
d A LaTex expression showing 1 over 5square root of 2
e A LaTex expression showing 1 over square root of 3
f A LaTex expression showing 1 over 2square root of 3
6
Find the answer when this number is raised to its exponent
A LaTex expression showing 50 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 5square root of 2
b A LaTex expression showing 1 over 4square root of 2
c A LaTex expression showing 1 over square root of 2
d A LaTex expression showing 1 over 5
e A LaTex expression showing 1 over 5square root of 4
f A LaTex expression showing 1 over 3square root of 2
7
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 1 over 3
b A LaTex expression showing 1 over 10
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over 10square root of 4
e A LaTex expression showing 1 over 4
f A LaTex expression showing 1 over 5
8
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 2square root of 2
b A LaTex expression showing 1 over 6square root of 4
c A LaTex expression showing 1 over 6square root of 2
d A LaTex expression showing 1 over 3square root of 2
e A LaTex expression showing 1 over 6square root of 3
f A LaTex expression showing 1 over square root of 2