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

This math topic focuses on simplifying radical expressions involving division with mixed-index radicals and integer powers of the radicand. Each problem presents a radical with a varying index and power in the numerator divided by an integer in the denominator. Students are tasked with determining which integer the radical expression simplifies to, providing an opportunity to practice and enhance their understanding of the rules of radicals and their simplification. The skill level is identified as Level 2, and it's a part of a broader unit dedicated to 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) - 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{3-th root of 81 to the power of 3 }{81}
a
5
b
1
c
7
d
3
e
4
f
8
2
What integer does this radical expression simplify to?
A LaTex expression showing \frac{2-th root of 36 to the power of 3 }{4}
a
54
b
14
c
9
d
74
e
34
f
89
3
What integer does this radical expression simplify to?
A LaTex expression showing \frac{3-th root of 27 to the power of 4 }{27}
a
1
b
3
c
5
d
9
e
2
f
4
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
11
b
8
c
6
d
3
e
10
f
2
5
What integer does this radical expression simplify to?
A LaTex expression showing \frac{3-th root of 64 to the power of 3 }{32}
a
8
b
2
c
11
d
1
e
7
f
5
6
What integer does this radical expression simplify to?
A LaTex expression showing \frac{2-th root of 81 to the power of 2 }{81}
a
7
b
6
c
1
d
3
e
9
f
4
7
What integer does this radical expression simplify to?
A LaTex expression showing \frac{2-th root of 125 to the power of 2 }{25}
a
10
b
11
c
3
d
5
e
7
f
12
8
What integer does this radical expression simplify to?
A LaTex expression showing \frac{2-th root of 216 to the power of 2 }{9}
a
6
b
34
c
38
d
36
e
24
f
40