HomePricing
Sign InJoin

Exponents - Negative Fractional Exponents with Non-Square Integer Base - Factored Exponent to Answer (Level 1)

This math topic focuses on negative fractional exponents with non-square integer bases. It is designed to help learners understand and practice how to simplify expressions where a factored number is raised to a negative fractional exponent. The questions require transforming these expressions into simplified radicals or fractional forms, testing the understanding of exponent rules and factored expressions' properties. Each problem presents a specific expression and multiple-choice answers, highlighting the application of exponentiation principles to solve for the simplified form.

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

View Unit

Negative Fractional Exponents with Non-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

(2⋅2⋅3⋅3⋅5)(−12)(2 \cdot 2 \cdot 3 \cdot 3 \cdot 5)^{(\frac{-1}{2})}

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

Mobius Math Club logo
Math worksheet on 'Exponents - Negative Fractional Exponents with Non-Square Integer Base - Factored Exponent to Answer (Level 1)'. Part of a broader unit on 'Exponents - Negative and Fractional Bases and Exponents' Learn online: app.mobius.academy/math/units/exponents_negative_and_fractional_bases_review/
1
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 5) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 4square root of 5
b A LaTex expression showing 1 over 2square root of 3
c A LaTex expression showing 1 over 2
d A LaTex expression showing 1 over square root of 5
e A LaTex expression showing 1 over 2square root of 5
2
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 2 times 2) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 1
b A LaTex expression showing 1 over 4square root of 4
c A LaTex expression showing 1 over 4
d A LaTex expression showing 1 over 4square root of 3
e A LaTex expression showing 1 over 4square root of 2
f A LaTex expression showing 1 over 2
3
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 5 times 5) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 5square root of 3
b A LaTex expression showing 1 over 3square root of 2
c A LaTex expression showing 1 over 5square root of 2
d A LaTex expression showing 1 over 5square root of 4
e A LaTex expression showing 1 over 5
f A LaTex expression showing 1 over 2square root of 2
4
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 5 times 5) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 10square root of 2
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1 over 10
d A LaTex expression showing 1 over 10square root of 4
e A LaTex expression showing 1 over 2
f A LaTex expression showing 1 over 1
5
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) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 2square root of 2
b A LaTex expression showing 1 over 6square root of 2
c A LaTex expression showing 1 over 6square root of 3
d A LaTex expression showing 1 over 6
e A LaTex expression showing 1 over 4square root of 2
f A LaTex expression showing 1 over square root of 2
6
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 3 times 5 times 5) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 3square root of 6
b A LaTex expression showing 1 over square root of 6
c A LaTex expression showing 1 over 5
d A LaTex expression showing 1 over 5square root of 6
e A LaTex expression showing 1 over 5square root of 4
f A LaTex expression showing 1 over 4square root of 6
7
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 2 times 2 times 5) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 2square root of 5
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1 over 3square root of 5
d A LaTex expression showing 1 over square root of 5
e A LaTex expression showing 1 over 4square root of 5
f A LaTex expression showing 1 over 4square root of 4