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

This math topic focuses on evaluating expressions with fractional exponents, specifically involving square roots of integer bases. Each problem presents a number expressed with a fractional exponent, and the task is to simplify or calculate the result accurately. The problems feature numbers like 81, 16, 25, 9, 4, 32, and 125 raised to exponents like 1/4, 1/2, or 1/5. Multiple-choice answers follow each question, testing the student's ability to determine the correct square or nth root of each given base.

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 - Exponent to Answer

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Find the answer when this number is raised to its exponent

16(14)16^{(\frac{1}{4})}

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

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Math worksheet on 'Exponents - Fractional Exponents with Square Integer Base - 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 number is raised to its exponent
A LaTex expression showing 36 to the power of (1 over 2 )
a A LaTex expression showing 6square root of 2
b A LaTex expression showing 6
c A LaTex expression showing 1
d A LaTex expression showing 3
e A LaTex expression showing 4
f A LaTex expression showing 6square root of 4
2
Find the answer when this number is raised to its exponent
A LaTex expression showing 216 to the power of (1 over 3 )
a A LaTex expression showing 63-th root of 4
b A LaTex expression showing 5
c A LaTex expression showing 6
d A LaTex expression showing 1
e A LaTex expression showing 4
f A LaTex expression showing 63-th root of 2
3
Find the answer when this number is raised to its exponent
A LaTex expression showing 9 to the power of (1 over 2 )
a A LaTex expression showing 1
b A LaTex expression showing 3square root of 4
c A LaTex expression showing 3
d A LaTex expression showing 5
e A LaTex expression showing 2
f A LaTex expression showing 3square root of 3
4
Find the answer when this number is raised to its exponent
A LaTex expression showing 8 to the power of (1 over 3 )
a A LaTex expression showing 2
b A LaTex expression showing 3
c A LaTex expression showing 1
d A LaTex expression showing 23-th root of 4
e A LaTex expression showing 5
f A LaTex expression showing 23-th root of 3
5
Find the answer when this number is raised to its exponent
A LaTex expression showing 27 to the power of (1 over 3 )
a A LaTex expression showing 4
b A LaTex expression showing 5
c A LaTex expression showing 33-th root of 4
d A LaTex expression showing 33-th root of 2
e A LaTex expression showing 1
f A LaTex expression showing 3
6
Find the answer when this number is raised to its exponent
A LaTex expression showing 25 to the power of (1 over 2 )
a A LaTex expression showing 2
b A LaTex expression showing 3
c A LaTex expression showing 5square root of 3
d A LaTex expression showing 5
e A LaTex expression showing 5square root of 2
f A LaTex expression showing 1
7
Find the answer when this number is raised to its exponent
A LaTex expression showing 64 to the power of (1 over 3 )
a A LaTex expression showing 1
b A LaTex expression showing 5
c A LaTex expression showing 4
d A LaTex expression showing 43-th root of 2
e A LaTex expression showing 43-th root of 4
f A LaTex expression showing 3