Radical

Convert Cube Root, Values and Variables, from Exponents - Negative (Level 1)

This math topic focuses on converting fractional exponents to radical forms, specifically dealing with negative exponents and cube roots. It practices simplifying complex expressions involving powers and roots of numerical values and variables. The problems involve interpreting expressions with negative fractional exponents and expressing them as radicals, aiding in developing skills in simplification and manipulation of exponent and radical expressions.

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

more
View Unit

Convert Cube Root, Values and Variables, from Exponents - Negative

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


Convert the fractional exponent to a radical

213z432^{-\frac{1}{3}}\cdot {z}^{-\frac{4}{3}}

?

Radicals - Convert Cube Root, Values and Variables, from Exponents - Negative Worksheet

Mobius Math Club logo
Math worksheet on 'Radicals - Convert Cube Root, Values and Variables, from Exponents - Negative (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 3 to the power of -1 over 3 times {p} to the power of -2 over 3
a A LaTex expression showing 1 over 23-th root of p
b A LaTex expression showing 1 over 3-th root of {p to the power of 3 }
c A LaTex expression showing 1 over 3-th root of 3{p to the power of 2 }
d A LaTex expression showing 1 over 3-th root of 2{p to the power of 4 }
e A LaTex expression showing 1 over 43-th root of {p to the power of 4 }
f A LaTex expression showing 1 over 33-th root of p
2
Convert the fractional exponent to a radical
A LaTex expression showing 5 to the power of -1 over 3 times {c} to the power of -4 over 3
a A LaTex expression showing 1 over c3-th root of 4{c to the power of 2 }
b A LaTex expression showing 1 over 2{c to the power of 3 3-th root of 4c}
c A LaTex expression showing 1 over c3-th root of {c to the power of 2 }
d A LaTex expression showing 1 over c3-th root of 4c
e A LaTex expression showing 1 over 3-th root of 5{c to the power of 4 }
f A LaTex expression showing 1 over c3-th root of 3{c to the power of 2 }
3
Convert the fractional exponent to a radical
A LaTex expression showing 11 to the power of -1 over 3 times x to the power of -1 over 3
a A LaTex expression showing 1 over 3-th root of 14x
b A LaTex expression showing 1 over 3-th root of 11x
c A LaTex expression showing 1 over 3-th root of 12{x to the power of 2 }
d A LaTex expression showing 1 over 43-th root of 14{x to the power of 3 }
e A LaTex expression showing 1 over 43-th root of 12x
f A LaTex expression showing 1 over 3-th root of 13x
4
Convert the fractional exponent to a radical
A LaTex expression showing 11 to the power of -1 over 3 times {n} to the power of -2 over 3
a A LaTex expression showing 1 over 3-th root of 8n
b A LaTex expression showing 1 over 3-th root of 12n
c A LaTex expression showing 1 over 3-th root of 11{n to the power of 2 }
d A LaTex expression showing 1 over 33-th root of 10n
e A LaTex expression showing 1 over 3-th root of 11n
f A LaTex expression showing 1 over 23-th root of 13{n to the power of 4 }
5
Convert the fractional exponent to a radical
A LaTex expression showing 7 to the power of -1 over 3 times {d} to the power of -4 over 3
a A LaTex expression showing 1 over 4d3-th root of 7{d to the power of 3 }
b A LaTex expression showing 1 over {d to the power of 2 3-th root of 8d}
c A LaTex expression showing 1 over d3-th root of 10{d to the power of 2 }
d A LaTex expression showing 1 over 3d3-th root of 10{d to the power of 3 }
e A LaTex expression showing 1 over 2d3-th root of 3{d to the power of 3 }
f A LaTex expression showing 1 over 3-th root of 7{d to the power of 4 }
6
Convert the fractional exponent to a radical
A LaTex expression showing 3 to the power of -1 over 3 times {y} to the power of -2 over 3
a A LaTex expression showing 1 over 3-th root of 5{y to the power of 4 }
b A LaTex expression showing 1 over 33-th root of 6y
c A LaTex expression showing 1 over 3-th root of 3{y to the power of 2 }
d A LaTex expression showing 1 over 23-th root of {y to the power of 2 }
e A LaTex expression showing 1 over 3-th root of 3y
f A LaTex expression showing 1 over 33-th root of 3y
7
Convert the fractional exponent to a radical
A LaTex expression showing 3 to the power of -1 over 3 times {b} to the power of -2 over 3
a A LaTex expression showing 1 over 3-th root of b
b A LaTex expression showing 1 over 3-th root of 3{b to the power of 2 }
c A LaTex expression showing 1 over 33-th root of 4{b to the power of 2 }
d A LaTex expression showing 1 over 43-th root of 4b
e A LaTex expression showing 1 over 33-th root of 3{b to the power of 2 }
f A LaTex expression showing 1 over 3-th root of {b to the power of 2 }