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

This math topic focuses on converting expressions with fractional exponents into radical form. The problems involve various non-square integer bases raised to fractional exponents, primarily the one-half power, meaning the students are tasked with identifying the square roots of these numbers. Each problem provides multiple answer choices in different radical forms, challenging students to select the correct expression that represents the square root of the base. The topic is fundamental for understanding and simplifying expressions involving roots and powers in algebra.

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

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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

54(12)54^{(\frac{1}{2})}

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

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Math worksheet on 'Exponents - Fractional Exponents with Non-Square Integer Base - Exponent to Unsimplified 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 144 to the power of (1 over 2 )
a A LaTex expression showing 1
b A LaTex expression showing 1 over square root of 144
c A LaTex expression showing 5square root of 144
d A LaTex expression showing 4square root of 144
e A LaTex expression showing square root of 144
f A LaTex expression showing square root of 144 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 square root of 108
b A LaTex expression showing 3square root of 108
c A LaTex expression showing square root of 108
d A LaTex expression showing 2square root of 108
e A LaTex expression showing 1
f A LaTex expression showing 4square root of 108
3
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 45 to the power of (1 over 2 )
a A LaTex expression showing 1
b A LaTex expression showing 5square root of 45
c A LaTex expression showing 1 over square root of 45
d A LaTex expression showing 4square root of 45
e A LaTex expression showing square root of 45
f A LaTex expression showing 3square root of 45
4
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 square root of 80
b A LaTex expression showing 1
c A LaTex expression showing 5square root of 80
d A LaTex expression showing 2square root of 80
e A LaTex expression showing 3square root of 80
f A LaTex expression showing square root of 80
5
Find the radical that is the same as this number raised to its exponent
A LaTex expression showing 32 to the power of (1 over 2 )
a A LaTex expression showing 5square root of 32
b A LaTex expression showing 1
c A LaTex expression showing 2square root of 32
d A LaTex expression showing 4square root of 32
e A LaTex expression showing 1 over square root of 32
f A LaTex expression showing square root of 32
6
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 square root of 75 to the power of 2
b A LaTex expression showing 2square root of 75
c A LaTex expression showing square root of 75
d A LaTex expression showing 4square root of 75
e A LaTex expression showing 1
f A LaTex expression showing 1 over square root of 75
7
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
b A LaTex expression showing square root of 18 to the power of 2
c A LaTex expression showing 1 over square root of 18
d A LaTex expression showing square root of 18
e A LaTex expression showing 3square root of 18