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

This math topic focuses on practicing simplification of radical expressions involving division with mixed index and varying powers of the radicand. Problems require simplifying expressions such as cube roots or square roots of an integer raised to a power, divided by another integer to determine what integer value the radical expression simplifies to. This includes applying knowledge of radicals and their properties to simplify expressions to find integer values from provided multiple-choice options. This forms part of a unit on radicals aimed at improving skills in simplifying radical expressions.

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) - Radical over Integer Worksheet

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Radicals - Division with Mixed Index and Power of Radicand (Integer) - Radical over Integer
1
What integer does this radical expression simplify to?
A LaTex expression showing \frac{2-th root of 4 to the power of 4 }{4}
a
5
b
1
c
6
d
4
e
12
f
10
2
What integer does this radical expression simplify to?
A LaTex expression showing \frac{3-th root of 64 to the power of 2 }{16}
a
10
b
4
c
3
d
2
e
5
f
1
3
What integer does this radical expression simplify to?
A LaTex expression showing \frac{2-th root of 4 to the power of 4 }{16}
a
4
b
6
c
9
d
10
e
1
f
3
4
What integer does this radical expression simplify to?
A LaTex expression showing \frac{3-th root of 16 to the power of 3 }{8}
a
4
b
2
c
7
d
8
e
3
f
5
5
What integer does this radical expression simplify to?
A LaTex expression showing \frac{2-th root of 16 to the power of 2 }{16}
a
8
b
1
c
7
d
4
e
5
f
6
6
What integer does this radical expression simplify to?
A LaTex expression showing \frac{3-th root of 64 to the power of 3 }{8}
a
10
b
12
c
6
d
9
e
8
f
2
7
What integer does this radical expression simplify to?
A LaTex expression showing \frac{2-th root of 64 to the power of 2 }{16}
a
6
b
4
c
7
d
13
e
1
f
5
8
What integer does this radical expression simplify to?
A LaTex expression showing \frac{2-th root of 9 to the power of 4 }{9}
a
9
b
8
c
17
d
2
e
11
f
1