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

This math topic focuses on converting negative fractional exponents with square integer bases into their equivalent radical forms. Each problem presents an expression with a negative fractional exponent and tasks the learner to identify the equivalent radical expression among multiple choices. These problems enhance understanding of the relationships between exponents and radicals, particularly in handling negative and fractional exponents. This is a fundamental practice in mastering exponentiation and radical operations within algebra.

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

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

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Exponents - Negative Fractional Exponents with Square Integer Base - Exponent to Radical
1
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 4 to the power of (-1 over 2 )
a A LaTex expression showing square root of 4
b A LaTex expression showing 1 over 4square root of 4
c A LaTex expression showing 1 over square root of 4 to the power of 2
d A LaTex expression showing 1 over square root of 4
e A LaTex expression showing 1 over 1
f A LaTex expression showing 1 over 2square root of 4
2
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 25 to the power of (-1 over 2 )
a A LaTex expression showing 1 over 4square root of 25
b A LaTex expression showing 1 over square root of 25
c A LaTex expression showing 1 over 2square root of 25
d A LaTex expression showing 1 over 5square root of 25
e A LaTex expression showing 1 over 3square root of 25
f A LaTex expression showing 1 over 1
3
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 3square root of 16
b A LaTex expression showing 1 over 5square root of 16
c A LaTex expression showing 1 over square root of 16 to the power of 2
d A LaTex expression showing 1 over square root of 16
e A LaTex expression showing square root of 16
f A LaTex expression showing 1 over 1
4
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 9 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 9 to the power of 2
c A LaTex expression showing 1 over 4square root of 9
d A LaTex expression showing 1 over square root of 9
e A LaTex expression showing 1 over 3square root of 9
f A LaTex expression showing 1 over 5square root of 9
5
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 3square root of 36
b A LaTex expression showing 1 over square root of 4
c A LaTex expression showing 1 over square root of 36
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 4square root of 36
f A LaTex expression showing 1 over square root of 36 to the power of 2