HomePricing

Exponents - Negative Fractional Exponents with Square Integer Base - Factored Exponent to Answer (Level 2)

This math topic practices calculating negative fractional exponents with a square integer base, converting them into their simplified radical forms. Each question presents a factored number raised to a negative fractional power, and the student must select the correct simplified form from multiple choices. The problems vary by altering the base numbers and the fractional exponents, allowing students to deepen their understanding of how different factors influence the outcome of exponentiation with negative and fractional exponents.

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

View Unit

Negative Fractional Exponents with Square Integer Base - Factored Exponent to Answer

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


Find the answer when this factored number is raised to its exponent

(3⋅3⋅3)(−13)(3 \cdot 3 \cdot 3)^{(\frac{-1}{3})}

Exponents - Negative Fractional Exponents with Square Integer Base - Factored Exponent to Answer Worksheet

Mobius Math Club logo
Math worksheet on 'Exponents - Negative Fractional Exponents with Square Integer Base - Factored Exponent to Answer (Level 2)'. Part of a broader unit on 'Exponents - Negative Bases and Exponents - Practice' Learn online: app.mobius.academy/math/units/exponents_negative_bases_and_exponents_practice/
1
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 2) to the power of (-1 over 3 )
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 5
c A LaTex expression showing 1 over 23-th root of 2
d A LaTex expression showing 1 over 23-th root of 3
e A LaTex expression showing 1 over 1
f A LaTex expression showing 1 over 2
2
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (3 times 3 times 3) to the power of (-1 over 3 )
a A LaTex expression showing 1 over 2
b A LaTex expression showing 1 over 1
c A LaTex expression showing 1 over 3
d A LaTex expression showing 1 over 4
e A LaTex expression showing 1 over 33-th root of 4
f A LaTex expression showing 1 over 33-th root of 3
3
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (3 times 3) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 3square root of 2
b A LaTex expression showing 1 over 2
c A LaTex expression showing 1 over 4
d A LaTex expression showing 1 over 1
e A LaTex expression showing 1 over 3square root of 3
f A LaTex expression showing 1 over 3
4
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 3 times 3) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 4
b A LaTex expression showing 1 over 1
c A LaTex expression showing 1 over 6
d A LaTex expression showing 1 over 6square root of 3
e A LaTex expression showing 1 over 6square root of 2
f A LaTex expression showing 1 over 2
5
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (3 times 3 times 3 times 3) to the power of (-1 over 4 )
a A LaTex expression showing 1 over 34-th root of 4
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1 over 3
d A LaTex expression showing 1 over 34-th root of 2
e A LaTex expression showing 1 over 1
f A LaTex expression showing 1 over 5
6
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 2 times 2 times 2 times 2) to the power of (-1 over 3 )
a A LaTex expression showing 1 over 1
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1 over 2
d A LaTex expression showing 1 over 43-th root of 4
e A LaTex expression showing 1 over 5
f A LaTex expression showing 1 over 4
7
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 2 times 3 times 3 times 3) to the power of (-1 over 3 )
a A LaTex expression showing 1 over 1
b A LaTex expression showing 1 over 5
c A LaTex expression showing 1 over 63-th root of 2
d A LaTex expression showing 1 over 6
e A LaTex expression showing 1 over 4
f A LaTex expression showing 1 over 3