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

This math topic focuses on negative fractional exponents with non-square integer bases. It is designed to help learners understand and practice how to simplify expressions where a factored number is raised to a negative fractional exponent. The questions require transforming these expressions into simplified radicals or fractional forms, testing the understanding of exponent rules and factored expressions' properties. Each problem presents a specific expression and multiple-choice answers, highlighting the application of exponentiation principles to solve for the simplified form.

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

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

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Exponents - Negative Fractional Exponents with Non-Square Integer Base - Factored Exponent to Answer
1
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 6square root of 4
b A LaTex expression showing 1 over 1
c A LaTex expression showing 1 over 4
d A LaTex expression showing 1 over 6
e A LaTex expression showing 1 over 5
f A LaTex expression showing 1 over 6square root of 2
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 4square root of 4
b A LaTex expression showing 1 over 1
c A LaTex expression showing 1 over 4square root of 3
d A LaTex expression showing 1 over 4
e A LaTex expression showing 1 over 4square root of 2
f A LaTex expression showing 1 over 2
3
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (3 times 5 times 5) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 5
b A LaTex expression showing 1 over 5square root of 3
c A LaTex expression showing 1 over 4square root of 3
d A LaTex expression showing 1 over 5square root of 4
e A LaTex expression showing 1 over 5square root of 2
f A LaTex expression showing 1 over square root of 3
4
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 2 times 2 times 3 times 3) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 12
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1 over 2
d A LaTex expression showing 1 over 12square root of 2
e A LaTex expression showing 1 over 12square root of 3
f A LaTex expression showing 1 over 1
5
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 5) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 4square root of 5
b A LaTex expression showing 1 over 2square root of 5
c A LaTex expression showing 1 over square root of 5
d A LaTex expression showing 1 over 2square root of 3
e A LaTex expression showing 1 over 2
6
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 2 times 2 times 2) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 2square root of 2
b A LaTex expression showing 1 over 3square root of 2
c A LaTex expression showing 1 over 4square root of 3
d A LaTex expression showing 1 over square root of 2
e A LaTex expression showing 1 over 4square root of 4
f A LaTex expression showing 1 over 4square root of 2
7
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 2 times 2 times 2 times 3) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 3square root of 6
b A LaTex expression showing 1 over square root of 6
c A LaTex expression showing 1 over 4
d A LaTex expression showing 1 over 4square root of 4
e A LaTex expression showing 1 over 4square root of 6
f A LaTex expression showing 1 over 5square root of 6
8
Find the answer when this factored number is raised to its exponent
A LaTex expression showing (2 times 2 times 3) to the power of (-1 over 2 )
a A LaTex expression showing 1 over 4square root of 3
b A LaTex expression showing 1 over square root of 3
c A LaTex expression showing 1 over 5square root of 3
d A LaTex expression showing 1 over 2
e A LaTex expression showing 1 over 3square root of 3
f A LaTex expression showing 1 over 2square root of 3