FastMath Exponent Fluency Grade Ten - Fractional Exponents

Math

Fractional-exponent fluency using single-select root-form recognition, with misrules for powers, reciprocals, and reversed fractions.

200 frames at grade level 10

#Prompt
1Which value is equal to 1024^{3/5}?
2Which value is equal to 35831808^{3/7}?
3Which value is equal to 35831808^{4/7}?
4Which value is equal to 125^{7/3}?
5Which value is equal to 729^{2/3}?
6Which value is equal to 32^{3/5}?
7Which value is equal to 1728^{7/3}?
8Which value is equal to 128^{6/7}?
9Which value is equal to 1024^{2/5}?
10Which value is equal to 32^{7/5}?
11Which value is equal to 6561^{2/4}?
12Which value is equal to 625^{6/4}?
13Which value is equal to 9^{3/2}?
14Which value is equal to 81^{3/4}?
15Which value is equal to 2401^{2/4}?
16Which value is equal to 81^{3/2}?
17Which value is equal to 729^{4/6}?
18Which value is equal to 64^{7/2}?
19Which value is equal to 15625^{2/6}?
20Which value is equal to 9^{4/2}?
21Which value is equal to 512^{2/3}?
22Which value is equal to 117649^{7/6}?
23Which value is equal to 262144^{4/6}?
24Which value is equal to 32768^{2/5}?
25Which value is equal to 371293^{3/5}?
26Which value is equal to 1728^{4/3}?
27Which value is equal to 121^{7/2}?
28Which value is equal to 4826809^{2/6}?
29Which value is equal to 512^{6/3}?
30Which value is equal to 64^{6/2}?
31Which value is equal to 2187^{5/7}?
32Which value is equal to 59049^{2/5}?
33Which value is equal to 128^{3/7}?
34Which value is equal to 144^{7/2}?
35Which value is equal to 16^{7/2}?
36Which value is equal to 537824^{6/5}?
37Which value is equal to 1024^{6/5}?
38Which value is equal to 14641^{3/4}?
39Which value is equal to 36^{7/2}?
40Which value is equal to 100000^{3/5}?
41Which value is equal to 125^{2/3}?
42Which value is equal to 4^{5/2}?
43Which value is equal to 81^{5/2}?
44Which value is equal to 2401^{6/4}?
45Which value is equal to 28561^{2/4}?
46Which expression is equal to x^{5/3}?
47Which value is equal to 7529536^{5/6}?
48Which value is equal to 14641^{6/4}?
49Which value is equal to 196^{4/2}?
50Which value is equal to 7529536^{2/6}?
51Which value is equal to 537824^{2/5}?
52Which value is equal to 16384^{4/7}?
53Which expression is equal to x^{1/2}?
54Which value is equal to 64^{6/3}?
55Which expression is equal to x^{6/2}?
56Which value is equal to 531441^{2/6}?
57Which value is equal to 28561^{3/4}?
58Which value is equal to 256^{5/4}?
59Which value is equal to 16^{6/2}?
60Which value is equal to 144^{6/2}?
61Which value is equal to 243^{4/5}?
62Which value is equal to 121^{5/2}?
63Which value is equal to 262144^{7/6}?
64Which value is equal to 1728^{2/3}?
65Which value is equal to 9^{6/2}?
66Which value is equal to 2187^{2/7}?
67Which value is equal to 19487171^{2/7}?
68Which value is equal to 216^{4/3}?
69Which value is equal to 36^{5/2}?
70Which value is equal to 196^{6/2}?
71Which expression is equal to x^{7/5}?
72Which value is equal to 62748517^{3/7}?
73Which value is equal to 64^{7/6}?
74Which value is equal to 1000^{6/3}?
75Which value is equal to 625^{2/4}?
76Which value is equal to 161051^{3/5}?
77Which value is equal to 81^{7/4}?
78Which value is equal to 6561^{5/4}?
79Which value is equal to 128^{5/7}?
80Which value is equal to 16807^{3/5}?
81Which value is equal to 81^{4/2}?
82Which value is equal to 1000^{2/3}?
83Which value is equal to 216^{5/3}?
84Which value is equal to 2985984^{4/6}?
85Which value is equal to 59049^{4/5}?
86Which expression is equal to x^{4/3}?
87Which value is equal to 28561^{5/4}?
88Which value is equal to 27^{4/3}?
89Which value is equal to 20736^{5/4}?
90Which value is equal to 531441^{3/6}?
91Which value is equal to 256^{3/4}?
92Which value is equal to 823543^{6/7}?
93Which value is equal to 28561^{6/4}?
94Which value is equal to 81^{6/4}?
95Which value is equal to 28561^{7/4}?
96Which value is equal to 4826809^{3/6}?
97Which value is equal to 16^{4/2}?
98Which expression is equal to x^{3/5}?
99Which value is equal to 128^{2/7}?
100Which value is equal to 121^{6/2}?
101Which value is equal to 121^{3/2}?
102Which value is equal to 78125^{5/7}?
103Which value is equal to 2197^{6/3}?
104Which value is equal to 8^{6/3}?
105Which value is equal to 16^{3/2}?
106Which value is equal to 117649^{5/6}?
107Which expression is equal to x^{7/3}?
108Which value is equal to 46656^{5/6}?
109Which value is equal to 16^{6/4}?
110Which value is equal to 625^{7/4}?
111Which value is equal to 1024^{7/5}?
112Which value is equal to 1000^{5/3}?
113Which value is equal to 49^{6/2}?
114Which value is equal to 4782969^{3/7}?
115Which value is equal to 512^{4/3}?
116Which value is equal to 100^{4/2}?
117Which expression is equal to x^{4/6}?
118Which value is equal to 161051^{6/5}?
119Which value is equal to 729^{5/3}?
120Which value is equal to 625^{5/4}?
121Which value is equal to 49^{5/2}?
122Which expression is equal to x^{2/5}?
123Which value is equal to 2197^{2/3}?
124Which value is equal to 78125^{3/7}?
125Which value is equal to 343^{5/3}?
126Which value is equal to 371293^{7/5}?
127Which expression is equal to x^{3/7}?
128Which value is equal to 105413504^{3/7}?
129Which value is equal to 4782969^{6/7}?
130Which value is equal to 2097152^{4/7}?
131Which value is equal to 14641^{5/4}?
132Which value is equal to 100000^{2/5}?
133Which value is equal to 2197^{7/3}?
134Which value is equal to 59049^{6/5}?
135Which value is equal to 16384^{3/7}?
136Which expression is equal to x^{7/6}?
137Which value is equal to 2197^{4/3}?
138Which value is equal to 25^{7/2}?
139Which value is equal to 243^{2/5}?
140Which value is equal to 2985984^{7/6}?
141Which value is equal to 216^{6/3}?
142Which value is equal to 8^{7/3}?
143Which value is equal to 16^{2/4}?
144Which value is equal to 4096^{2/6}?
145Which value is equal to 8^{4/3}?
146Which expression is equal to x^{5/2}?
147Which value is equal to 161051^{2/5}?
148Which value is equal to 6561^{3/4}?
149Which expression is equal to x^{1/4}?
150Which value is equal to 64^{5/2}?
151Which value is equal to 729^{4/3}?
152Which value is equal to 2744^{7/3}?
153Which value is equal to 38416^{5/4}?
154Which value is equal to 2097152^{2/7}?
155Which value is equal to 262144^{2/6}?
156Which value is equal to 2744^{2/3}?
157Which value is equal to 531441^{4/6}?
158Which value is equal to 343^{7/3}?
159Which value is equal to 343^{2/3}?
160Which value is equal to 100^{6/2}?
161Which value is equal to 6561^{7/4}?
162Which value is equal to 64^{4/2}?
163Which value is equal to 161051^{4/5}?
164Which value is equal to 46656^{3/6}?
165Which value is equal to 1296^{3/4}?
166Which value is equal to 7776^{7/5}?
167Which value is equal to 117649^{3/6}?
168Which expression is equal to x^{4/2}?
169Which value is equal to 81^{5/4}?
170Which value is equal to 121^{4/2}?
171Which value is equal to 729^{7/3}?
172Which value is equal to 64^{2/3}?
173Which value is equal to 78125^{6/7}?
174Which value is equal to 125^{5/3}?
175Which value is equal to 59049^{7/5}?
176Which value is equal to 1000^{7/3}?
177Which value is equal to 16807^{6/5}?
178Which value is equal to 1000^{4/3}?
179Which value is equal to 4096^{6/4}?
180Which value is equal to 10000^{3/4}?
181Which value is equal to 1331^{4/3}?
182Which value is equal to 243^{7/5}?
183Which value is equal to 7776^{6/5}?
184Which expression is equal to x^{1/7}?
185Which value is equal to 262144^{3/6}?
186Which value is equal to 169^{4/2}?
187Which value is equal to 38416^{6/4}?
188Which value is equal to 248832^{2/5}?
189Which value is equal to 25^{4/2}?
190Which value is equal to 128^{4/7}?
191Which value is equal to 49^{7/2}?
192Which value is equal to 16384^{5/7}?
193Which value is equal to 49^{3/2}?
194Which value is equal to 1331^{2/3}?
195Which value is equal to 19487171^{3/7}?
196Which value is equal to 256^{7/4}?
197Which value is equal to 3125^{2/5}?
198Which value is equal to 1000000^{2/6}?
199Which value is equal to 4096^{3/6}?
200Which value is equal to 10000000^{4/7}?