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

This math topic focuses on practicing simplifying expressions with fractional exponents and non-square integer bases. The problems involve calculating the results when factored numbers are raised to fractional exponents, such as one-half, to find the simplified radicals. Each question presents a factored expression with an exponent and multiple answer choices that include various configurations of integer coefficients and square root terms. This skill helps deepen understanding of both exponent rules and radical expressions.

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

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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

(2â‹…5â‹…5)(12)(2 \cdot 5 \cdot 5)^{(\frac{1}{2})}

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

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Math worksheet on 'Exponents - Fractional Exponents with Non-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 (2 times 2 times 2 times 3) to the power of (1 over 2 )
a A LaTex expression showing 4square root of 6
b A LaTex expression showing 2
c A LaTex expression showing square root of 6
d A LaTex expression showing 2square root of 6
e A LaTex expression showing 3square root of 6
f A LaTex expression showing 2square root of 4
2
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (3 times 3 times 5) to the power of (1 over 2 )
a A LaTex expression showing 4square root of 5
b A LaTex expression showing 3square root of 5
c A LaTex expression showing 5square root of 5
d A LaTex expression showing square root of 5
e A LaTex expression showing 3
f A LaTex expression showing 3square root of 2
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 6square root of 4
b A LaTex expression showing 6square root of 3
c A LaTex expression showing 2
d A LaTex expression showing 6
e A LaTex expression showing 3
f A LaTex expression showing 1
4
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 3 times 3 times 3) to the power of (1 over 2 )
a A LaTex expression showing 3square root of 6
b A LaTex expression showing 3square root of 2
c A LaTex expression showing 2square root of 6
d A LaTex expression showing 5square root of 6
e A LaTex expression showing 3
f A LaTex expression showing square root of 6
5
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 4
b A LaTex expression showing 4square root of 2
c A LaTex expression showing 2square root of 5
d A LaTex expression showing 4square root of 5
e A LaTex expression showing 5square root of 5
f A LaTex expression showing square root of 5
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) to the power of (1 over 2 )
a A LaTex expression showing 6
b A LaTex expression showing 6square root of 3
c A LaTex expression showing 6square root of 2
d A LaTex expression showing 3square root of 2
e A LaTex expression showing square root of 2
f A LaTex expression showing 5square root of 2
7
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 5
b A LaTex expression showing 4square root of 6
c A LaTex expression showing 5square root of 6
d A LaTex expression showing square root of 6
e A LaTex expression showing 2square root of 6
f A LaTex expression showing 3square root of 6