Fraction Powers Radicals Worksheet
Math Sprint Rational Fluency 100
Date: ________________
Class: ________
Fraction Powers & Radicals
Evaluate each expression. Write your final answer as a simplified proper or improper fraction.
Name: _______________________
Page Score ____ / 25
01 Power
\(\left(\dfrac{1}{2}\right)^2\)
02 Root
\(\sqrt{\dfrac{4}{9}}\)
03 Power
\(\left(\dfrac{2}{3}\right)^3\)
04 Root
\(\sqrt{\dfrac{16}{25}}\)
05 Power
\(\left(\dfrac{3}{4}\right)^2\)
06 Root
\(\sqrt{\dfrac{1}{16}}\)
07 Power
\(\left(\dfrac{1}{5}\right)^2\)
08 Power
\(\left(\dfrac{2}{5}\right)^3\)
09 Root
\(\sqrt{\dfrac{25}{36}}\)
10 Root
\(\sqrt{\dfrac{9}{49}}\)
11 Power
\(\left(\dfrac{1}{3}\right)^4\)
12 Root
\(\sqrt{\dfrac{49}{64}}\)
13 Power
\(\left(\dfrac{5}{6}\right)^2\)
14 Root
\(\sqrt{\dfrac{1}{81}}\)
15 Power
\(\left(\dfrac{3}{2}\right)^2\)
16 Root
\(\sqrt{\dfrac{4}{81}}\)
17 Power
\(\left(\dfrac{1}{4}\right)^3\)
18 Root
\(\sqrt{\dfrac{36}{49}}\)
19 Power
\(\left(\dfrac{2}{7}\right)^2\)
20 Root
\(\sqrt{\dfrac{81}{100}}\)
21 Power
\(\left(\dfrac{4}{5}\right)^2\)
22 Root
\(\sqrt{\dfrac{9}{121}}\)
23 Power
\(\left(\dfrac{1}{2}\right)^5\)
24 Root
\(\sqrt{\dfrac{25}{144}}\)
25 Power
\(\left(\dfrac{3}{5}\right)^2\)
Sprint Questions 1 – 25 of 100 \(\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}\) • \(\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}\) Page 1 of 4
Part 2
Fraction Powers & Radicals
Name: _______________________
Page Score ____ / 25
26 Root
\(\sqrt{\dfrac{1}{4}}\)
27 Power
\(\left(\dfrac{1}{3}\right)^2\)
28 Root
\(\sqrt{\dfrac{9}{16}}\)
29 Power
\(\left(\dfrac{3}{4}\right)^3\)
30 Root
\(\sqrt{\dfrac{1}{25}}\)
31 Power
\(\left(\dfrac{2}{3}\right)^4\)
32 Root
\(\sqrt{\dfrac{16}{49}}\)
33 Power
\(\left(\dfrac{1}{10}\right)^2\)
34 Power
\(\left(\dfrac{1}{6}\right)^2\)
35 Root
\(\sqrt{\dfrac{25}{81}}\)
36 Power
\(\left(\dfrac{3}{7}\right)^2\)
37 Root
\(\sqrt{\dfrac{1}{100}}\)
38 Power
\(\left(\dfrac{1}{2}\right)^3\)
39 Root
\(\sqrt{\dfrac{16}{121}}\)
40 Power
\(\left(\dfrac{4}{3}\right)^2\)
41 Root
\(\sqrt{\dfrac{49}{144}}\)
42 Power
\(\left(\dfrac{2}{5}\right)^2\)
43 Root
\(\sqrt{\dfrac{1}{64}}\)
44 Power
\(\left(\dfrac{1}{4}\right)^2\)
45 Root
\(\sqrt{\dfrac{64}{81}}\)
46 Power
\(\left(\dfrac{3}{8}\right)^2\)
47 Root
\(\sqrt{\dfrac{9}{100}}\)
48 Power
\(\left(\dfrac{5}{2}\right)^2\)
49 Root
\(\sqrt{\dfrac{4}{169}}\)
50 Root
\(\sqrt{\dfrac{9}{4}}\)
Sprint Questions 26 – 50 of 100 Check for perfect square roots • Simplify all fractions completely Page 2 of 4
Part 3
Fraction Powers & Radicals
Name: _______________________
Page Score ____ / 25
51 Power
\(\left(\dfrac{1}{2}\right)^4\)
52 Root
\(\sqrt{\dfrac{1}{49}}\)
53 Power
\(\left(\dfrac{2}{3}\right)^2\)
54 Root
\(\sqrt{\dfrac{25}{64}}\)
55 Power
\(\left(\dfrac{3}{5}\right)^3\)
56 Root
\(\sqrt{\dfrac{49}{100}}\)
57 Power
\(\left(\dfrac{5}{4}\right)^2\)
58 Power
\(\left(\dfrac{1}{7}\right)^2\)
59 Root
\(\sqrt{\dfrac{4}{121}}\)
60 Root
\(\sqrt{\dfrac{1}{144}}\)
61 Power
\(\left(\dfrac{7}{8}\right)^2\)
62 Root
\(\sqrt{\dfrac{16}{9}}\)
63 Power
\(\left(\dfrac{1}{3}\right)^3\)
64 Root
\(\sqrt{\dfrac{9}{169}}\)
65 Power
\(\left(\dfrac{4}{9}\right)^2\)
66 Root
\(\sqrt{\dfrac{1}{36}}\)
67 Power
\(\left(\dfrac{5}{3}\right)^2\)
68 Root
\(\sqrt{\dfrac{36}{121}}\)
69 Power
\(\left(\dfrac{1}{8}\right)^2\)
70 Root
\(\sqrt{\dfrac{25}{16}}\)
71 Power
\(\left(\dfrac{2}{9}\right)^2\)
72 Root
\(\sqrt{\dfrac{9}{25}}\)
73 Power
\(\left(\dfrac{3}{10}\right)^2\)
74 Root
\(\sqrt{\dfrac{64}{121}}\)
75 Power
\(\left(\dfrac{3}{2}\right)^3\)
Sprint Questions 51 – 75 of 100 Improper fraction answers are acceptable; leave in simplest form Page 3 of 4
Part 4
Fraction Powers & Radicals
Name: _______________________
Page Score ____ / 25
76 Root
\(\sqrt{\dfrac{9}{64}}\)
77 Power
\(\left(\dfrac{5}{8}\right)^2\)
78 Root
\(\sqrt{\dfrac{36}{25}}\)
79 Power
\(\left(\dfrac{1}{5}\right)^3\)
80 Root
\(\sqrt{\dfrac{1}{169}}\)
81 Power
\(\left(\dfrac{7}{10}\right)^2\)
82 Root
\(\sqrt{\dfrac{81}{121}}\)
83 Power
\(\left(\dfrac{4}{3}\right)^3\)
84 Root
\(\sqrt{\dfrac{121}{144}}\)
85 Power
\(\left(\dfrac{1}{9}\right)^2\)
86 Root
\(\sqrt{\dfrac{25}{169}}\)
87 Power
\(\left(\dfrac{5}{12}\right)^2\)
88 Root
\(\sqrt{\dfrac{49}{36}}\)
89 Power
\(\left(\dfrac{3}{2}\right)^4\)
90 Root
\(\sqrt{\dfrac{100}{121}}\)
91 Power
\(\left(\dfrac{7}{9}\right)^2\)
92 Root
\(\sqrt{\dfrac{64}{169}}\)
93 Power
\(\left(\dfrac{1}{11}\right)^2\)
94 Root
\(\sqrt{\dfrac{100}{9}}\)
95 Power
\(\left(\dfrac{9}{10}\right)^2\)
96 Root
\(\sqrt{\dfrac{144}{169}}\)
97 Power
\(\left(\dfrac{2}{11}\right)^2\)
98 Root
\(\sqrt{\dfrac{81}{49}}\)
99 Power
\(\left(\dfrac{1}{12}\right)^2\)
100 Root
\(\sqrt{\dfrac{144}{25}}\)
Sprint Questions 76 – 100 of 100 Final Total Score: _____ / 100
Page 4 of 4
