Division with Mixed Index and Power of Radicand (Fraction) - Integer over Radical (Level 1)

This math topic involves solving problems related to simplifying radical expressions where an integer is divided by a radical with both a mixed index and a powered radicand, presented as fractions. Specifically, students practice simplification skills, applying knowledge of indices and roots to rationalize denominators and simplify the expressions to their lowest terms. This topic falls under a broader unit dedicated to practicing the simplification of radicals, enhancing algebraic manipulation and understanding of radical expressions in mathematical operations.

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Radicals - Division with Mixed Index and Power of Radicand (Fraction) - Integer over Radical Worksheet

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Radicals - Division with Mixed Index and Power of Radicand (Fraction) - Integer over Radical
1
What does this radical expression simplify to?
A LaTex expression showing 16 over 2-th root of 32 to the power of 2
a A LaTex expression showing 1 over 17
b A LaTex expression showing 1 over 2
c A LaTex expression showing 3 over 7
d A LaTex expression showing 1 over 22
e A LaTex expression showing 2
2
What does this radical expression simplify to?
A LaTex expression showing 64 over 3-th root of 4 to the power of 3
a A LaTex expression showing 105 over 4
b A LaTex expression showing 40 over 3
c A LaTex expression showing 72 over 7
d A LaTex expression showing 16
e A LaTex expression showing 54 over 5
3
What does this radical expression simplify to?
A LaTex expression showing 8 over 3-th root of 36 to the power of 3
a A LaTex expression showing 9 over 52
b A LaTex expression showing 9 over 23
c A LaTex expression showing 6 over 65
d A LaTex expression showing 2 over 9
e A LaTex expression showing 1 over 8
4
What does this radical expression simplify to?
A LaTex expression showing 25 over 2-th root of 9 to the power of 3
a A LaTex expression showing 14 over 5
b A LaTex expression showing 25 over 27
c A LaTex expression showing 28 over 57
d A LaTex expression showing 25 over 41
e A LaTex expression showing 23 over 39
5
What does this radical expression simplify to?
A LaTex expression showing 16 over 3-th root of 8 to the power of 5
a A LaTex expression showing 29 over 16
b A LaTex expression showing 1 over 49
c A LaTex expression showing 6
d A LaTex expression showing 1 over 2
e A LaTex expression showing 23 over 26
6
What does this radical expression simplify to?
A LaTex expression showing 49 over 2-th root of 16 to the power of 2
a A LaTex expression showing 49 over 16
b A LaTex expression showing 73 over 6
c A LaTex expression showing 27 over 17
d A LaTex expression showing 29 over 17
e A LaTex expression showing 57 over 35
7
What does this radical expression simplify to?
A LaTex expression showing 9 over 2-th root of 4 to the power of 3
a A LaTex expression showing 3 over 2
b A LaTex expression showing 11 over 15
c A LaTex expression showing 9 over 8
d A LaTex expression showing 4 over 3
8
What does this radical expression simplify to?
A LaTex expression showing 8 over 3-th root of 64 to the power of 3
a A LaTex expression showing 5 over 41
b A LaTex expression showing 17 over 96
c A LaTex expression showing 9 over 85
d A LaTex expression showing 1 over 8
e A LaTex expression showing 4 over 31