FastMath Exponent Fluency Grade Eleven - Fractional Exponents

Math

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

11

200 frames at grade level 11

#Prompt
1Which value is equal to 2744^{6/3}?
2Which value is equal to 64^{8/6}?
3Which value is equal to 38416^{8/4}?
4Which value is equal to 64^{7/2}?
5Which expression is equal to x^{4/5}?
6Which value is equal to 6561^{2/4}?
7Which value is equal to 117649^{3/6}?
8Which value is equal to 11390625^{7/6}?
9Which value is equal to 343^{8/3}?
10Which value is equal to 100^{7/2}?
11Which value is equal to 100000000^{7/8}?
12Which value is equal to 78125^{6/7}?
13Which value is equal to 2197^{5/3}?
14Which value is equal to 100000^{6/5}?
15Which value is equal to 11390625^{3/6}?
16Which value is equal to 729^{7/6}?
17Which value is equal to 815730721^{4/8}?
18Which value is equal to 216^{2/3}?
19Which value is equal to 4826809^{8/6}?
20Which value is equal to 2985984^{2/6}?
21Which value is equal to 512^{7/3}?
22Which value is equal to 32^{7/5}?
23Which value is equal to 1024^{2/5}?
24Which expression is equal to x^{6/4}?
25Which value is equal to 16807^{2/5}?
26Which value is equal to 2562890625^{6/8}?
27Which value is equal to 729^{4/3}?
28Which value is equal to 50625^{6/4}?
29Which value is equal to 4782969^{6/7}?
30Which value is equal to 729^{6/3}?
31Which value is equal to 248832^{8/5}?
32Which value is equal to 105413504^{8/7}?
33Which value is equal to 16^{6/2}?
34Which value is equal to 64^{4/6}?
35Which expression is equal to x^{1/4}?
36Which value is equal to 81^{7/2}?
37Which value is equal to 35831808^{2/7}?
38Which value is equal to 16777216^{3/8}?
39Which value is equal to 196^{7/2}?
40Which value is equal to 1296^{3/4}?
41Which value is equal to 279936^{6/7}?
42Which value is equal to 81^{4/2}?
43Which value is equal to 38416^{2/4}?
44Which value is equal to 27^{6/3}?
45Which value is equal to 256^{3/4}?
46Which value is equal to 2744^{4/3}?
47Which value is equal to 28561^{2/4}?
48Which value is equal to 729^{5/3}?
49Which value is equal to 823543^{8/7}?
50Which value is equal to 161051^{6/5}?
51Which value is equal to 1728^{2/3}?
52Which value is equal to 49^{5/2}?
53Which value is equal to 371293^{4/5}?
54Which value is equal to 729^{8/6}?
55Which value is equal to 3375^{6/3}?
56Which value is equal to 343^{6/3}?
57Which value is equal to 216^{6/3}?
58Which expression is equal to x^{7/2}?
59Which value is equal to 214358881^{7/8}?
60Which value is equal to 6561^{6/4}?
61Which value is equal to 815730721^{5/8}?
62Which value is equal to 36^{6/2}?
63Which expression is equal to x^{1/8}?
64Which value is equal to 5764801^{4/8}?
65Which value is equal to 823543^{6/7}?
66Which value is equal to 2985984^{4/6}?
67Which value is equal to 1475789056^{6/8}?
68Which value is equal to 32768^{6/5}?
69Which value is equal to 9^{5/2}?
70Which value is equal to 3375^{2/3}?
71Which value is equal to 169^{8/2}?
72Which value is equal to 46656^{7/6}?
73Which value is equal to 248832^{6/5}?
74Which value is equal to 50625^{8/4}?
75Which value is equal to 225^{4/2}?
76Which value is equal to 6561^{4/8}?
77Which value is equal to 2985984^{5/6}?
78Which value is equal to 1679616^{6/8}?
79Which value is equal to 225^{3/2}?
80Which value is equal to 65536^{7/8}?
81Which value is equal to 1771561^{7/6}?
82Which value is equal to 2562890625^{4/8}?
83Which value is equal to 32768^{8/5}?
84Which value is equal to 16^{5/2}?
85Which value is equal to 100000000^{6/8}?
86Which value is equal to 27^{2/3}?
87Which value is equal to 1000000^{8/6}?
88Which value is equal to 1000^{7/3}?
89Which value is equal to 121^{8/2}?
90Which value is equal to 4096^{7/4}?
91Which value is equal to 8^{6/3}?
92Which value is equal to 343^{7/3}?
93Which value is equal to 214358881^{6/8}?
94Which value is equal to 64^{8/3}?
95Which value is equal to 170859375^{2/7}?
96Which value is equal to 100000000^{2/8}?
97Which value is equal to 16^{3/4}?
98Which value is equal to 14641^{6/4}?
99Which value is equal to 100000^{4/5}?
100Which expression is equal to x^{6/5}?
101Which value is equal to 20736^{2/4}?
102Which value is equal to 36^{3/2}?
103Which value is equal to 1331^{7/3}?
104Which value is equal to 196^{3/2}?
105Which value is equal to 759375^{6/5}?
106Which value is equal to 100000^{7/5}?
107Which value is equal to 815730721^{2/8}?
108Which value is equal to 279936^{4/7}?
109Which value is equal to 216^{8/3}?
110Which value is equal to 4782969^{2/7}?
111Which value is equal to 1331^{4/3}?
112Which value is equal to 531441^{2/6}?
113Which value is equal to 43046721^{3/8}?
114Which value is equal to 243^{7/5}?
115Which value is equal to 20736^{8/4}?
116Which value is equal to 8^{2/3}?
117Which value is equal to 36^{7/2}?
118Which value is equal to 390625^{2/8}?
119Which value is equal to 32768^{4/5}?
120Which value is equal to 169^{3/2}?
121Which value is equal to 35831808^{5/7}?
122Which value is equal to 759375^{8/5}?
123Which value is equal to 1000000^{3/6}?
124Which value is equal to 36^{5/2}?
125Which value is equal to 214358881^{3/8}?
126Which value is equal to 2187^{4/7}?
127Which value is equal to 1024^{7/5}?
128Which value is equal to 279936^{2/7}?
129Which value is equal to 729^{4/6}?
130Which value is equal to 759375^{3/5}?
131Which value is equal to 100000^{3/5}?
132Which value is equal to 128^{2/7}?
133Which value is equal to 371293^{8/5}?
134Which value is equal to 125^{8/3}?
135Which value is equal to 256^{7/4}?
136Which value is equal to 100^{8/2}?
137Which value is equal to 1771561^{2/6}?
138Which expression is equal to x^{5/7}?
139Which value is equal to 1728^{5/3}?
140Which value is equal to 1475789056^{4/8}?
141Which value is equal to 10000000^{5/7}?
142Which value is equal to 14641^{5/4}?
143Which value is equal to 729^{8/3}?
144Which value is equal to 32768^{7/5}?
145Which expression is equal to x^{5/3}?
146Which value is equal to 28561^{6/4}?
147Which value is equal to 225^{8/2}?
148Which value is equal to 28561^{5/4}?
149Which value is equal to 6561^{7/4}?
150Which value is equal to 429981696^{3/8}?
151Which value is equal to 81^{3/4}?
152Which value is equal to 4826809^{2/6}?
153Which value is equal to 3375^{7/3}?
154Which value is equal to 429981696^{6/8}?
155Which value is equal to 100000^{8/5}?
156Which value is equal to 64^{5/2}?
157Which value is equal to 81^{5/4}?
158Which value is equal to 100^{6/2}?
159Which value is equal to 117649^{4/6}?
160Which value is equal to 1679616^{4/8}?
161Which value is equal to 7529536^{8/6}?
162Which value is equal to 78125^{5/7}?
163Which value is equal to 4782969^{8/7}?
164Which value is equal to 823543^{2/7}?
165Which value is equal to 5764801^{2/8}?
166Which value is equal to 125^{6/3}?
167Which value is equal to 390625^{6/8}?
168Which value is equal to 1331^{6/3}?
169Which value is equal to 1771561^{8/6}?
170Which value is equal to 8^{8/3}?
171Which value is equal to 4096^{2/4}?
172Which value is equal to 38416^{7/4}?
173Which value is equal to 1024^{6/5}?
174Which value is equal to 4782969^{4/7}?
175Which value is equal to 81^{6/2}?
176Which value is equal to 81^{8/2}?
177Which value is equal to 20736^{6/4}?
178Which value is equal to 46656^{3/6}?
179Which value is equal to 36^{4/2}?
180Which value is equal to 161051^{2/5}?
181Which value is equal to 2187^{8/7}?
182Which value is equal to 256^{2/8}?
183Which value is equal to 1296^{6/4}?
184Which value is equal to 161051^{8/5}?
185Which value is equal to 100000^{2/5}?
186Which expression is equal to x^{6/2}?
187Which value is equal to 16384^{2/7}?
188Which value is equal to 35831808^{8/7}?
189Which value is equal to 128^{6/7}?
190Which value is equal to 759375^{7/5}?
191Which value is equal to 14641^{7/4}?
192Which value is equal to 10000000^{2/7}?
193Which value is equal to 1475789056^{2/8}?
194Which value is equal to 81^{6/4}?
195Which value is equal to 10000000^{8/7}?
196Which value is equal to 7529536^{3/6}?
197Which value is equal to 121^{4/2}?
198Which value is equal to 169^{5/2}?
199Which value is equal to 4826809^{4/6}?
200Which value is equal to 2744^{2/3}?