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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the radical that is the same as this number raised to its exponent

50(12)50^{(\frac{-1}{2})}

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

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Math worksheet on 'Exponents - Negative Fractional Exponents with Non-Square Integer Base - Exponent to Unsimplified Radical (Level 1)'. Part of a broader unit on 'Exponents - Fractional Bases and Exponents - Practice' Learn online: app.mobius.academy/math/units/exponents_fractional_bases_and_exponents_practice/
1
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 18 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 18
c A LaTex expression showing 1 over 4square root of 18
d A LaTex expression showing 1 over 3square root of 18
e A LaTex expression showing square root of 18
f A LaTex expression showing 1 over square root of 18 to the power of 2
2
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 1
d A LaTex expression showing 1 over 2square root of 108
e A LaTex expression showing 1 over square root of 108
f A LaTex expression showing 1 over 3square root of 108
3
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 72 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 72
c A LaTex expression showing 1 over 5square root of 72
d A LaTex expression showing square root of 72
e A LaTex expression showing 1 over square root of 72 to the power of 2
f A LaTex expression showing 1 over square root of 72
4
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 144 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 144 to the power of 2
c A LaTex expression showing square root of 144
d A LaTex expression showing 1 over square root of 144
e A LaTex expression showing 1 over 4square root of 144
f A LaTex expression showing 1 over 5square root of 144
5
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 1 over square root of 50 to the power of 2
b A LaTex expression showing square root of 50
c A LaTex expression showing 1 over 5square root of 50
d A LaTex expression showing 1 over 4square root of 50
e A LaTex expression showing 1 over square root of 50
f A LaTex expression showing 1 over 1
6
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 2square root of 36
b A LaTex expression showing 1 over 4square root of 36
c A LaTex expression showing 1 over square root of 36 to the power of 2
d A LaTex expression showing 1 over square root of 36
e A LaTex expression showing square root of 36
f A LaTex expression showing 1 over 1
7
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 square root of 12
b A LaTex expression showing 1 over square root of 12 to the power of 2
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 4square root of 12
f A LaTex expression showing 1 over 1