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

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

Mobius Math Academy logo
Math worksheet on 'Radicals - Convert Cube Root, Values and Variables, from Exponents - Negative (Level 1)'. Part of a broader unit on 'Radicals - Simplifying Advanced' Learn online: app.mobius.academy/math/units/radicals_simplifying_advanced/
1
Convert the fractional exponent to a radical
A LaTex expression showing 2 to the power of -1 over 3 times {z} to the power of -4 over 3
a A LaTex expression showing 1 over 3-th root of 2{z to the power of 4 }
b A LaTex expression showing 1 over {z to the power of 2 3-th root of z}
c A LaTex expression showing z3-th root of {z to the power of 3 }
d A LaTex expression showing 1 over z3-th root of z
e A LaTex expression showing 1 over 3z3-th root of 2{z to the power of 3 }
2
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 -4 over 3
a A LaTex expression showing 1 over 3y3-th root of y
b A LaTex expression showing {y} to the power of 2 3-th root of 3y
c A LaTex expression showing 1 over 4{y to the power of 2 3-th root of 2y}
d A LaTex expression showing 1 over 3-th root of 3{y to the power of 4 }
e A LaTex expression showing 1 over y3-th root of {y 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 {d} to the power of -2 over 3
a A LaTex expression showing 1 over 3-th root of 8d
b A LaTex expression showing 1 over 3-th root of 11{d to the power of 2 }
c A LaTex expression showing 1 over 33-th root of 10d
d A LaTex expression showing 43-th root of 8d
e A LaTex expression showing 1 over 33-th root of 12{d to the power of 4 }
4
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 3-th root of 3{p to the power of 2 }
b A LaTex expression showing 3-th root of 3p
c A LaTex expression showing 1 over 3-th root of 3p
d A LaTex expression showing 1 over 3-th root of 6{p to the power of 3 }
e A LaTex expression showing 1 over 43-th root of {p to the power of 3 }
5
Convert the fractional exponent to a radical
A LaTex expression showing 5 to the power of -1 over 3 times {z} to the power of -2 over 3
a A LaTex expression showing 1 over 3-th root of 5{z to the power of 2 }
b A LaTex expression showing 3-th root of 7z
c A LaTex expression showing 1 over 33-th root of 8z
d A LaTex expression showing 1 over 3-th root of 3z
e A LaTex expression showing 1 over 43-th root of 6{z to the power of 2 }
6
Convert the fractional exponent to a radical
A LaTex expression showing 2 to the power of -1 over 3 times {r} to the power of -4 over 3
a A LaTex expression showing 4r3-th root of 4r
b A LaTex expression showing 1 over 3-th root of 2{r to the power of 4 }
c A LaTex expression showing 1 over 4{r to the power of 3 3-th root of 2r}
d A LaTex expression showing {r} to the power of 2 3-th root of 2{r to the power of 2 }
e A LaTex expression showing 1 over 2r3-th root of r
7
Convert the fractional exponent to a radical
A LaTex expression showing 2 to the power of -1 over 3 times y to the power of -1 over 3
a A LaTex expression showing 33-th root of y
b A LaTex expression showing 1 over 3-th root of 5{y to the power of 2 }
c A LaTex expression showing 1 over 3-th root of 3y
d A LaTex expression showing 1 over 3-th root of {y to the power of 3 }
e A LaTex expression showing 1 over 3-th root of 2y