FastMath Exponent Fluency Grade Twelve - 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 12

#	Prompt
1	Which value is equal to 59049^{2/5}?
2	Which value is equal to 1728^{6/3}?
3	Which value is equal to 65536^{3/8}?
4	Which value is equal to 429981696^{7/8}?
5	Which value is equal to 6561^{5/8}?
6	Which value is equal to 625^{5/4}?
7	Which value is equal to 65536^{6/8}?
8	Which value is equal to 2562890625^{3/8}?
9	Which value is equal to 2985984^{2/6}?
10	Which value is equal to 4096^{7/3}?
11	Which value is equal to 4^{8/2}?
12	Which value is equal to 35831808^{2/7}?
13	Which value is equal to 3125^{4/5}?
14	Which value is equal to 1679616^{4/8}?
15	Which value is equal to 256^{7/8}?
16	Which value is equal to 64^{4/2}?
17	Which expression is equal to x^{7/4}?
18	Which value is equal to 64^{7/6}?
19	Which value is equal to 50625^{8/4}?
20	Which value is equal to 4^{6/2}?
21	Which value is equal to 1000^{8/3}?
22	Which value is equal to 19487171^{5/7}?
23	Which value is equal to 117649^{4/6}?
24	Which value is equal to 196^{7/2}?
25	Which value is equal to 4782969^{2/7}?
26	Which value is equal to 371293^{7/5}?
27	Which value is equal to 65536^{7/8}?
28	Which value is equal to 15625^{7/6}?
29	Which value is equal to 1000000^{2/6}?
30	Which expression is equal to x^{8/6}?
31	Which value is equal to 196^{4/2}?
32	Which value is equal to 38416^{7/4}?
33	Which value is equal to 256^{2/8}?
34	Which value is equal to 62748517^{5/7}?
35	Which value is equal to 729^{8/3}?
36	Which value is equal to 35831808^{5/7}?
37	Which value is equal to 3125^{8/5}?
38	Which value is equal to 3375^{2/3}?
39	Which value is equal to 6561^{2/4}?
40	Which value is equal to 256^{3/2}?
41	Which value is equal to 4096^{5/3}?
42	Which value is equal to 1475789056^{6/8}?
43	Which value is equal to 243^{3/5}?
44	Which value is equal to 3375^{5/3}?
45	Which value is equal to 125^{4/3}?
46	Which value is equal to 815730721^{7/8}?
47	Which value is equal to 4096^{3/6}?
48	Which value is equal to 169^{5/2}?
49	Which value is equal to 2562890625^{7/8}?
50	Which value is equal to 36^{7/2}?
51	Which value is equal to 78125^{6/7}?
52	Which value is equal to 537824^{2/5}?
53	Which value is equal to 823543^{4/7}?
54	Which value is equal to 823543^{5/7}?
55	Which value is equal to 105413504^{4/7}?
56	Which value is equal to 16^{5/4}?
57	Which value is equal to 161051^{8/5}?
58	Which value is equal to 14641^{8/4}?
59	Which value is equal to 6561^{3/4}?
60	Which value is equal to 279936^{8/7}?
61	Which value is equal to 19487171^{4/7}?
62	Which value is equal to 28561^{7/4}?
63	Which value is equal to 19487171^{6/7}?
64	Which value is equal to 27^{6/3}?
65	Which value is equal to 100000000^{6/8}?
66	Which value is equal to 262144^{3/6}?
67	Which value is equal to 268435456^{5/7}?
68	Which value is equal to 5764801^{4/8}?
69	Which value is equal to 1024^{2/5}?
70	Which value is equal to 1296^{2/4}?
71	Which value is equal to 429981696^{6/8}?
72	Which value is equal to 625^{8/4}?
73	Which value is equal to 10000^{8/4}?
74	Which value is equal to 4096^{2/3}?
75	Which expression is equal to x^{6/3}?
76	Which expression is equal to x^{7/3}?
77	Which expression is equal to x^{1/7}?
78	Which expression is equal to x^{2/7}?
79	Which value is equal to 256^{3/4}?
80	Which value is equal to 14641^{7/4}?
81	Which value is equal to 36^{3/2}?
82	Which value is equal to 243^{4/5}?
83	Which value is equal to 512^{2/3}?
84	Which value is equal to 100000000^{5/8}?
85	Which value is equal to 268435456^{8/7}?
86	Which value is equal to 531441^{7/6}?
87	Which value is equal to 16777216^{2/6}?
88	Which expression is equal to x^{5/8}?
89	Which value is equal to 1296^{7/4}?
90	Which value is equal to 36^{6/2}?
91	Which value is equal to 3125^{3/5}?
92	Which expression is equal to x^{6/7}?
93	Which value is equal to 35831808^{8/7}?
94	Which value is equal to 170859375^{6/7}?
95	Which value is equal to 78125^{4/7}?
96	Which expression is equal to x^{2/3}?
97	Which value is equal to 429981696^{5/8}?
98	Which value is equal to 20736^{5/4}?
99	Which value is equal to 125^{5/3}?
100	Which value is equal to 32768^{8/5}?
101	Which value is equal to 4096^{5/6}?
102	Which value is equal to 2401^{2/4}?
103	Which value is equal to 1475789056^{7/8}?
104	Which value is equal to 2985984^{7/6}?
105	Which value is equal to 1771561^{4/6}?
106	Which value is equal to 16777216^{3/6}?
107	Which value is equal to 815730721^{3/8}?
108	Which value is equal to 6561^{6/4}?
109	Which value is equal to 64^{2/6}?
110	Which value is equal to 5764801^{6/8}?
111	Which value is equal to 19487171^{3/7}?
112	Which value is equal to 15625^{2/6}?
113	Which value is equal to 196^{8/2}?
114	Which value is equal to 32^{6/5}?
115	Which value is equal to 390625^{4/8}?
116	Which value is equal to 10000^{7/4}?
117	Which value is equal to 16777216^{5/8}?
118	Which value is equal to 65536^{7/4}?
119	Which value is equal to 2097152^{3/7}?
120	Which value is equal to 100000^{6/5}?
121	Which value is equal to 38416^{3/4}?
122	Which value is equal to 4826809^{2/6}?
123	Which value is equal to 27^{2/3}?
124	Which value is equal to 14641^{6/4}?
125	Which value is equal to 16384^{5/7}?
126	Which value is equal to 815730721^{5/8}?
127	Which value is equal to 16777216^{7/6}?
128	Which value is equal to 279936^{6/7}?
129	Which expression is equal to x^{3/2}?
130	Which value is equal to 16^{2/4}?
131	Which value is equal to 3125^{2/5}?
132	Which value is equal to 2562890625^{4/8}?
133	Which value is equal to 16^{4/2}?
134	Which value is equal to 2097152^{6/7}?
135	Which value is equal to 121^{6/2}?
136	Which value is equal to 10000^{5/4}?
137	Which value is equal to 59049^{4/5}?
138	Which value is equal to 10000000^{5/7}?
139	Which value is equal to 59049^{8/5}?
140	Which value is equal to 11390625^{7/6}?
141	Which value is equal to 1000000^{5/6}?
142	Which value is equal to 65536^{2/4}?
143	Which value is equal to 170859375^{4/7}?
144	Which value is equal to 537824^{7/5}?
145	Which value is equal to 161051^{4/5}?
146	Which value is equal to 10000000^{4/7}?
147	Which value is equal to 1296^{5/4}?
148	Which value is equal to 100^{5/2}?
149	Which value is equal to 256^{7/2}?
150	Which value is equal to 20736^{7/4}?
151	Which value is equal to 216^{4/3}?
152	Which value is equal to 1048576^{3/5}?
153	Which value is equal to 161051^{6/5}?
154	Which value is equal to 46656^{4/6}?
155	Which value is equal to 256^{4/8}?
156	Which value is equal to 170859375^{5/7}?
157	Which expression is equal to x^{4/8}?
158	Which value is equal to 100^{3/2}?
159	Which value is equal to 8^{4/3}?
160	Which value is equal to 531441^{5/6}?
161	Which value is equal to 1771561^{5/6}?
162	Which value is equal to 4096^{4/6}?
163	Which expression is equal to x^{2/8}?
164	Which value is equal to 81^{5/2}?
165	Which value is equal to 6561^{8/4}?
166	Which value is equal to 4096^{6/3}?
167	Which value is equal to 81^{3/4}?
168	Which value is equal to 64^{6/3}?
169	Which expression is equal to x^{3/4}?
170	Which value is equal to 243^{6/5}?
171	Which value is equal to 2985984^{5/6}?
172	Which value is equal to 1728^{4/3}?
173	Which value is equal to 4^{5/2}?
174	Which value is equal to 25^{8/2}?
175	Which value is equal to 216^{2/3}?
176	Which value is equal to 8^{8/3}?
177	Which value is equal to 1331^{2/3}?
178	Which value is equal to 16384^{8/7}?
179	Which value is equal to 512^{4/3}?
180	Which value is equal to 1679616^{3/8}?
181	Which value is equal to 6561^{4/8}?
182	Which value is equal to 32768^{3/5}?
183	Which value is equal to 100^{4/2}?
184	Which value is equal to 65536^{8/4}?
185	Which value is equal to 4782969^{8/7}?
186	Which value is equal to 429981696^{4/8}?
187	Which value is equal to 64^{5/6}?
188	Which value is equal to 11390625^{5/6}?
189	Which value is equal to 16^{6/2}?
190	Which value is equal to 49^{4/2}?
191	Which value is equal to 16^{3/2}?
192	Which value is equal to 65536^{6/4}?
193	Which value is equal to 16777216^{7/8}?
194	Which value is equal to 2985984^{8/6}?
195	Which value is equal to 1475789056^{5/8}?
196	Which value is equal to 100^{6/2}?
197	Which value is equal to 65536^{3/4}?
198	Which value is equal to 78125^{2/7}?
199	Which value is equal to 256^{6/4}?
200	Which value is equal to 371293^{8/5}?