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

This topic focuses on converting fractional exponents with square integer bases into their radical forms. It essentially evaluates students' understanding of how to express numbers in radical notation when given a base raised to a fractional exponent. Each problem on the topic presents a different square integer base raised to the exponent of one-half, asking students to identify the equivalent radical representation from multiple options. This involves skills such as simplifying square roots and understanding the relationship between exponents and radicals.

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

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Fractional Exponents with Square Integer Base - Exponent to 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

16(12)16^{(\frac{1}{2})}

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

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Math worksheet on 'Exponents - Fractional Exponents with Square Integer Base - Exponent to Radical (Level 1)'. Part of a broader unit on 'Exponents - Fractional Bases and Exponents - Intro' Learn online: app.mobius.academy/math/units/exponents_fractional_bases_and_exponents_intro/
1
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 2square root of 16
b A LaTex expression showing 1
c A LaTex expression showing 4square root of 16
d A LaTex expression showing square root of 16
e A LaTex expression showing square root of 2
f A LaTex expression showing 3square root of 16
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 square root of 2
b A LaTex expression showing square root of 25 to the power of 2
c A LaTex expression showing 3square root of 25
d A LaTex expression showing 1 over square root of 25
e A LaTex expression showing square root of 25
f A LaTex expression showing 1
3
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 2square root of 4
b A LaTex expression showing square root of 4
c A LaTex expression showing 1
d A LaTex expression showing square root of 3
e A LaTex expression showing 4square root of 4
f A LaTex expression showing 3square root of 4
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 3square root of 9
b A LaTex expression showing square root of 9
c A LaTex expression showing square root of 4
d A LaTex expression showing 4square root of 9
e A LaTex expression showing 1
f A LaTex expression showing 2square 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 square root of 36
b A LaTex expression showing 1
c A LaTex expression showing 2square root of 36
d A LaTex expression showing 4square root of 36
e A LaTex expression showing 5square root of 36
f A LaTex expression showing 3square root of 36