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

This math topic involves practicing with negative fractional exponents using non-square integer bases and converting these expressions to unsimplified radicals. The problems require students to find the equivalent radical form of numbers raised to negative fractional powers. The worksheet covers various integer bases and includes multiple-choice answers to allow students to test their understanding of exponent rules and their ability to simplify expressions involving roots.

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 Unsimplified Radical Worksheet

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Exponents - Negative Fractional Exponents with Non-Square Integer Base - Exponent to Unsimplified Radical
1
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 80 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 3square root of 80
b A LaTex expression showing square root of 80
c A LaTex expression showing 1 over square root of 80
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 2square root of 80
f A LaTex expression showing 1 over square root of 80 to the power of 2
2
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 250 to the power of (-1 over 3 )
a A LaTex expression showing 1 over 3-th root of 250
b A LaTex expression showing 1 over 53-th root of 250
c A LaTex expression showing 3-th root of 250
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 3-th root of 250 to the power of 2
f A LaTex expression showing 1 over 33-th root of 250
3
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 162 to the power of (-1 over 3 )
a A LaTex expression showing 1 over 33-th root of 162
b A LaTex expression showing 1 over 43-th root of 162
c A LaTex expression showing 1 over 3-th root of 162 to the power of 2
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 23-th root of 162
f A LaTex expression showing 1 over 3-th root of 162
4
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 36 to the power of (-1 over 2 )
a A LaTex expression showing square root of 36
b A LaTex expression showing 1 over square root of 36 to the power of 2
c A LaTex expression showing 1 over square root of 36
d A LaTex expression showing 1 over 4square root of 36
e A LaTex expression showing 1 over 2square root of 36
f A LaTex expression showing 1 over 1
5
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 40 to the power of (-1 over 3 )
a A LaTex expression showing 1 over 3-th root of 3
b A LaTex expression showing 1 over 1
c A LaTex expression showing 1 over 3-th root of 2
d A LaTex expression showing 1 over 53-th root of 40
e A LaTex expression showing 1 over 3-th root of 40 to the power of 2
f A LaTex expression showing 1 over 3-th root of 40
6
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 54 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 1
b A LaTex expression showing 1 over 4square root of 54
c A LaTex expression showing 1 over square root of 54 to the power of 2
d A LaTex expression showing 1 over 3square root of 54
e A LaTex expression showing square root of 54
f A LaTex expression showing 1 over square root of 54
7
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 108 to the power of (-1 over 3 )
a A LaTex expression showing 1 over 43-th root of 108
b A LaTex expression showing 1 over 23-th root of 108
c A LaTex expression showing 1 over 3-th root of 108
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 3-th root of 108 to the power of 2
f A LaTex expression showing 3-th root of 108
8
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 96 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 3square root of 96
b A LaTex expression showing 1 over 5square root of 96
c A LaTex expression showing 1 over 4square root of 96
d A LaTex expression showing 1 over square root of 96 to the power of 2
e A LaTex expression showing 1 over 1
f A LaTex expression showing 1 over square root of 96