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

This math topic focuses on evaluating expressions with fractional exponents applied to factored numbers with square integer bases. It explores the concept of simplifying or finding the radical form of expressions, starting from a product repeated several times, raised to a fractional power. The worksheet involves multiple-choice questions, where students must correctly apply fractional exponent rules to compute the simplified form of each expression provided. This is part of a broader introduction to working 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

(5â‹…5â‹…5)(13)(5 \cdot 5 \cdot 5)^{(\frac{1}{3})}

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 2)'. 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 (3 times 3) to the power of (1 over 2 )
a A LaTex expression showing 3
b A LaTex expression showing 5
c A LaTex expression showing 3square root of 3
d A LaTex expression showing 3square root of 2
e A LaTex expression showing 2
f A LaTex expression showing 1
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 4 )
a A LaTex expression showing 24-th root of 3
b A LaTex expression showing 24-th root of 4
c A LaTex expression showing 2
d A LaTex expression showing 4
e A LaTex expression showing 3
f A LaTex expression showing 1
3
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
b A LaTex expression showing 23-th root of 3
c A LaTex expression showing 2
d A LaTex expression showing 3
e A LaTex expression showing 23-th root of 4
f A LaTex expression showing 5
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 6
b A LaTex expression showing 4
c A LaTex expression showing 1
d A LaTex expression showing 6square root of 2
e A LaTex expression showing 3
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 2square root of 2
b A LaTex expression showing 2square root of 3
c A LaTex expression showing 4
d A LaTex expression showing 3
e A LaTex expression showing 2
f A LaTex expression showing 1
6
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 5
b A LaTex expression showing 2
c A LaTex expression showing 6
d A LaTex expression showing 3
e A LaTex expression showing 1
f A LaTex expression showing 63-th root of 4
7
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (5 times 5 times 5) to the power of (1 over 3 )
a A LaTex expression showing 4
b A LaTex expression showing 3
c A LaTex expression showing 5
d A LaTex expression showing 1
e A LaTex expression showing 2