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

This math topic focuses on practicing with negative fractional exponents, specifically converting expressions with a non-square integer base raised to a negative fractional exponent into a radical form. The expressions require understanding and manipulating bases and exponents to simplify unsimplified radicals, engaging with concepts at an introductory level. Each problem presents an expression with a base raised to a negative fractional exponent and multiple choice answers that demonstrate different ways of expressing the radical version of the original expression. The goal is to identify the correct radical form equivalent to the given exponential form.

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 75 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 2square root of 75
b A LaTex expression showing 1 over square root of 75 to the power of 2
c A LaTex expression showing 1 over square root of 75
d A LaTex expression showing 1 over 1
e A LaTex expression showing square root of 75 to the power of 2
f A LaTex expression showing square root of 75
2
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 square root of 54
c A LaTex expression showing square root of 54
d A LaTex expression showing 1 over square root of 54 to the power of 2
e A LaTex expression showing 1 over 4square root of 54
f A LaTex expression showing 1 over 3square root of 54
3
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 1 over 1
b A LaTex expression showing 1 over square root of 36
c A LaTex expression showing 1 over 4square root of 36
d A LaTex expression showing square root of 36
e A LaTex expression showing 1 over 2square root of 36
f A LaTex expression showing 1 over square root of 36 to the power of 2
4
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 16 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 4square root of 16
b A LaTex expression showing 1 over 2square root of 16
c A LaTex expression showing 1 over square root of 16
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 5square root of 16
f A LaTex expression showing 1 over 3square root of 16
5
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 12 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 4square root of 12
b A LaTex expression showing 1 over 1
c A LaTex expression showing square root of 12
d A LaTex expression showing 1 over 3square root of 12
e A LaTex expression showing 1 over square root of 12 to the power of 2
f A LaTex expression showing 1 over square root of 12
6
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 50 to the power of (-1 over 2 )
a A LaTex expression showing square root of 50
b A LaTex expression showing 1 over 1
c A LaTex expression showing 1 over 5square root of 50
d A LaTex expression showing 1 over square root of 50 to the power of 2
e A LaTex expression showing 1 over 4square root of 50
f A LaTex expression showing 1 over square root of 50
7
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 48 to the power of (-1 over 2 )
a A LaTex expression showing square root of 48
b A LaTex expression showing 1 over 5square root of 48
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over square root of 48 to the power of 2
e A LaTex expression showing 1 over 4square root of 48
f A LaTex expression showing 1 over square root of 48
8
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 2 )
a A LaTex expression showing 1 over 5square root of 108
b A LaTex expression showing 1 over square root of 108 to the power of 2
c A LaTex expression showing 1 over 3square root of 108
d A LaTex expression showing 1 over 2square root of 108
e A LaTex expression showing 1 over 1
f A LaTex expression showing 1 over square root of 108