Radical

Convert Square Root, Values and Variables, from Exponents - Positive (Level 1)

This math topic focuses on converting fractional exponents to radicals. It is part of a broader introductory unit on simplifying radicals. Each question presents expressions with fractional exponents involving numbers and variables, asking students to rewrite them in radical form. Various options for the answers suggest multiple ways these exponents can be represented as radicals, emphasizing understanding of radical simplification and conversion between different forms of expressing mathematical power. This set of problems is beneficial for students learning to manipulate and simplify expressions involving powers and roots.

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

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Convert Square Root, Values and Variables, from Exponents - Positive

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Convert the fractional exponent to a radical

1112n1211^{\frac{1}{2}}\cdot n^{\frac{1}{2}}

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Radicals - Convert Square Root, Values and Variables, from Exponents - Positive Worksheet

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Math worksheet on 'Radicals - Convert Square Root, Values and Variables, from Exponents - Positive (Level 1)'. Part of a broader unit on 'Radicals - Simplifying Practice' Learn online: app.mobius.academy/math/units/radicals_simplifying_practice/
1
Convert the fractional exponent to a radical
A LaTex expression showing 11 to the power of 1 over 2 times n to the power of 1 over 2
a A LaTex expression showing square root of 13n
b A LaTex expression showing square root of 11n
c A LaTex expression showing 4square root of 14n
d A LaTex expression showing 4square root of 7{n to the power of 3 }
e A LaTex expression showing 4square root of 11{n to the power of 2 }
f A LaTex expression showing square root of 13{n to the power of 3 }
2
Convert the fractional exponent to a radical
A LaTex expression showing 11 to the power of 1 over 2 times {m} to the power of 3 over 2
a A LaTex expression showing {m} to the power of 3 square root of 14{m to the power of 3 }
b A LaTex expression showing msquare root of 10{m to the power of 3 }
c A LaTex expression showing msquare root of 8{m to the power of 2 }
d A LaTex expression showing 4msquare root of 12{m to the power of 2 }
e A LaTex expression showing msquare root of 8{m to the power of 3 }
f A LaTex expression showing square root of 11{m to the power of 3 }
3
Convert the fractional exponent to a radical
A LaTex expression showing 3 to the power of 1 over 2 times z to the power of 1 over 2
a A LaTex expression showing 2square root of 2z
b A LaTex expression showing square root of 6z
c A LaTex expression showing square root of z
d A LaTex expression showing 3square root of 4z
e A LaTex expression showing 4square root of 5{z to the power of 2 }
f A LaTex expression showing square root of 3z
4
Convert the fractional exponent to a radical
A LaTex expression showing 5 to the power of 1 over 2 times {z} to the power of 3 over 2
a A LaTex expression showing zsquare root of 3z
b A LaTex expression showing zsquare root of 6z
c A LaTex expression showing {z} to the power of 2 square root of 7z
d A LaTex expression showing 4zsquare root of 3{z to the power of 3 }
e A LaTex expression showing square root of 5{z to the power of 3 }
f A LaTex expression showing zsquare root of z
5
Convert the fractional exponent to a radical
A LaTex expression showing 5 to the power of 1 over 2 times c to the power of 1 over 2
a A LaTex expression showing square root of 7c
b A LaTex expression showing square root of 5c
c A LaTex expression showing 4square root of c
d A LaTex expression showing square root of 5{c to the power of 3 }
e A LaTex expression showing square root of 2c
f A LaTex expression showing square root of 3{c to the power of 3 }
6
Convert the fractional exponent to a radical
A LaTex expression showing 3 to the power of 1 over 2 times y to the power of 1 over 2
a A LaTex expression showing 3square root of 4{y to the power of 3 }
b A LaTex expression showing square root of 5{y to the power of 3 }
c A LaTex expression showing 3square root of y
d A LaTex expression showing square root of y
e A LaTex expression showing square root of 3y
f A LaTex expression showing 3square root of 2y
7
Convert the fractional exponent to a radical
A LaTex expression showing 11 to the power of 1 over 2 times {c} to the power of 3 over 2
a A LaTex expression showing 4csquare root of 14c
b A LaTex expression showing csquare root of 7c
c A LaTex expression showing 3csquare root of 12c
d A LaTex expression showing square root of 11{c to the power of 3 }
e A LaTex expression showing 3csquare root of 9c
f A LaTex expression showing csquare root of 8c