Division with Mixed Index and Power of Radicand (Integer) - Integer over Radical (Level 2)

This math topic focuses on simplifying radical expressions involving division with mixed indices and powers of the radicands. Specifically, it practices simplifying expressions where integers are divided by radicals, involving the cube roots and square roots of various powers. This includes evaluating expressions like integers divided by the cube root of an integer raised to a power, and assessing what integer the expression simplifies to. Each question provides multiple choice answers for the simplified result of the radical expressions. This topic is a part of a larger unit on simplifying radicals.

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

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

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Radicals - Division with Mixed Index and Power of Radicand (Integer) - Integer over Radical
1
What integer does this radical expression simplify to?
A LaTex expression showing 27 over 3-th root of 27 to the power of 2
a
8
b
9
c
5
d
4
e
3
f
7
2
What integer does this radical expression simplify to?
A LaTex expression showing 16 over 2-th root of 4 to the power of 4
a
1
b
6
c
4
d
7
e
10
f
5
3
What integer does this radical expression simplify to?
A LaTex expression showing 32 over 3-th root of 16 to the power of 3
a
10
b
5
c
2
d
7
e
1
f
8
4
What integer does this radical expression simplify to?
A LaTex expression showing 16 over 3-th root of 8 to the power of 4
a
2
b
1
c
3
d
8
e
6
f
5
5
What integer does this radical expression simplify to?
A LaTex expression showing 16 over 2-th root of 16 to the power of 2
a
9
b
7
c
3
d
6
e
1
f
4
6
What integer does this radical expression simplify to?
A LaTex expression showing 125 over 3-th root of 25 to the power of 3
a
8
b
4
c
5
d
9
e
1
f
2
7
What integer does this radical expression simplify to?
A LaTex expression showing 32 over 3-th root of 4 to the power of 3
a
1
b
9
c
5
d
2
e
4
f
8
8
What integer does this radical expression simplify to?
A LaTex expression showing 64 over 3-th root of 16 to the power of 3
a
6
b
9
c
8
d
12
e
4
f
7