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

This math topic focuses on the application of fractional exponents to square integer bases. It challenges students to simplify expressions where numbers presented in factored form are raised to fractional powers, specifically a half-power (which correlates to square root operations). Each problem presents a factored base raised to a fractional exponent, and students must choose the correct simplified expression from multiple options. This topic is part of an introductory unit on exponents dealing with fractional bases and exponents.

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

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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

(2â‹…2â‹…2â‹…2)(12)(2 \cdot 2 \cdot 2 \cdot 2)^{(\frac{1}{2})}

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

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Math worksheet on 'Exponents - Fractional Exponents with Square Integer Base - Factored Exponent to Answer (Level 1)'. Part of a broader unit on 'Exponents - Fractional Bases and Exponents - Intro' Learn online: app.mobius.academy/math/units/exponents_fractional_bases_and_exponents_intro/
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
b A LaTex expression showing 5square root of 2
c A LaTex expression showing 5
d A LaTex expression showing 4
e A LaTex expression showing 3
f A LaTex expression showing 2
2
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 6
b A LaTex expression showing 4
c A LaTex expression showing 6square root of 2
d A LaTex expression showing 1
e A LaTex expression showing 2
f A LaTex expression showing 3
3
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 2
b A LaTex expression showing 1
c A LaTex expression showing 5
d A LaTex expression showing 4square root of 2
e A LaTex expression showing 4
f A LaTex expression showing 4square root of 4
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
b A LaTex expression showing 3square root of 3
c A LaTex expression showing 3square root of 2
d A LaTex expression showing 3
e A LaTex expression showing 5
f A LaTex expression showing 2
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 2
b A LaTex expression showing 1
c A LaTex expression showing 3
d A LaTex expression showing 4
e A LaTex expression showing 2square root of 3
f A LaTex expression showing 2square root of 2