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

This math topic focuses on practicing negative fractional exponents with square integer bases. The problems involve calculating expressions where a number in the form of a product of the same integer raised to a negative fractional power. Each question provides a factored base number raised to an exponent, and students must simplify the expression to find the correct radical form as an answer. The multiple-choice format offers several possible answers, requiring an understanding of how to manipulate exponents and roots properly.

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

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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)(−12)(3 \cdot 3)^{(\frac{-1}{2})}

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

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Math worksheet on 'Exponents - Negative Fractional Exponents with Square Integer Base - Factored Exponent to Answer (Level 1)'. 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 (5 times 5) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 5square root of 4
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over 5square root of 2
e A LaTex expression showing 1 over 5
f A LaTex expression showing 1 over 4
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 5
d A LaTex expression showing 1 over 3
e A LaTex expression showing 1 over 4
3
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 2
b A LaTex expression showing 1 over 6square root of 2
c A LaTex expression showing 1 over 1
d A LaTex expression showing 1 over 6
e A LaTex expression showing 1 over 4
f A LaTex expression showing 1 over 6square root of 3
4
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 2
b A LaTex expression showing 1 over 3square root of 2
c A LaTex expression showing 1 over 3square root of 3
d A LaTex expression showing 1 over 3
e A LaTex expression showing 1 over 1
f A LaTex expression showing 1 over 4
5
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2) 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 5
d A LaTex expression showing 1 over 2square root of 2
e A LaTex expression showing 1 over 2
f A LaTex expression showing 1 over 2square root of 3