FastMath Exponent Fluency Grade Twelve - Product Rule

Math

Exponent product-rule fluency using exact symbolic answers for same-base products, with distractors for multiplying, subtracting, or keeping exponents.

12

200 frames at grade level 12

#Prompt
1Evaluate 4^{6}\cdot 4^{7}.
2Evaluate 11^{6}\cdot 11^{7}.
3Evaluate 7^{8}\cdot 7^{9}.
4Simplify 7x^{2}\cdot 14x^{3}.
5Simplify 15x^{2}\cdot 4x^{3}.
6Evaluate 13^{6}\cdot 13^{7}.
7Simplify x^{8}\cdot x^{6}.
8Simplify 2x^{2}\cdot 9x^{3}.
9Simplify 16x^{2}\cdot 6x^{3}.
10Simplify 10x^{2}\cdot 4x^{3}.
11Simplify 16x^{2}\cdot 8x^{3}.
12Evaluate 5^{4}\cdot 5^{5}.
13Simplify x^{6}\cdot x^{8}.
14Simplify 11x^{2}\cdot 5x^{3}.
15Evaluate 13^{3}\cdot 13^{4}.
16Evaluate 12^{3}\cdot 12^{4}.
17Simplify 5x^{2}\cdot 9x^{3}.
18Simplify x^{7}\cdot x^{5}.
19Evaluate 2^{8}\cdot 2^{9}.
20Simplify x^{2}\cdot x^{6}.
21Simplify 16x^{2}\cdot 16x^{3}.
22Evaluate 15^{4}\cdot 15^{5}.
23Evaluate 13^{4}\cdot 13^{5}.
24Simplify 7x^{2}\cdot 9x^{3}.
25Simplify 4x^{2}\cdot 16x^{3}.
26Simplify 3x^{2}\cdot 10x^{3}.
27Simplify 8x^{2}\cdot 13x^{3}.
28Evaluate 12^{4}\cdot 12^{5}.
29Simplify 10x^{2}\cdot 10x^{3}.
30Simplify 11x^{2}\cdot 12x^{3}.
31Simplify 2x^{2}\cdot 14x^{3}.
32Simplify 8x^{2}\cdot 8x^{3}.
33Evaluate 16^{4}\cdot 16^{5}.
34Simplify 5x^{2}\cdot 15x^{3}.
35Evaluate 14^{4}\cdot 14^{5}.
36Simplify 3x^{2}\cdot 15x^{3}.
37Simplify 15x^{2}\cdot 8x^{3}.
38Simplify x^{8}\cdot x^{2}.
39Simplify 8x^{2}\cdot 6x^{3}.
40Simplify x^{5}\cdot x^{7}.
41Evaluate 8^{5}\cdot 8^{6}.
42Simplify 16x^{2}\cdot 7x^{3}.
43Simplify x^{6}\cdot x^{6}.
44Simplify 14x^{2}\cdot 5x^{3}.
45Simplify x^{3}\cdot x^{2}.
46Evaluate 9^{4}\cdot 9^{5}.
47Simplify 13x^{2}\cdot 3x^{3}.
48Evaluate 3^{7}\cdot 3^{8}.
49Simplify 15x^{2}\cdot 13x^{3}.
50Simplify 14x^{2}\cdot 8x^{3}.
51Simplify 10x^{2}\cdot 14x^{3}.
52Simplify x^{6}\cdot x^{7}.
53Simplify 6x^{2}\cdot 2x^{3}.
54Simplify 11x^{2}\cdot 10x^{3}.
55Simplify x^{8}\cdot x^{4}.
56Simplify 12x^{2}\cdot 6x^{3}.
57Simplify 2x^{2}\cdot 3x^{3}.
58Simplify 11x^{2}\cdot 16x^{3}.
59Simplify 10x^{2}\cdot 7x^{3}.
60Simplify 14x^{2}\cdot 2x^{3}.
61Simplify 7x^{2}\cdot 3x^{3}.
62Simplify x^{5}\cdot x^{5}.
63Simplify 7x^{2}\cdot 2x^{3}.
64Evaluate 9^{6}\cdot 9^{7}.
65Simplify 16x^{2}\cdot 11x^{3}.
66Evaluate 11^{7}\cdot 11^{8}.
67Evaluate 6^{6}\cdot 6^{7}.
68Evaluate 2^{4}\cdot 2^{5}.
69Simplify 4x^{2}\cdot 10x^{3}.
70Simplify 16x^{2}\cdot 5x^{3}.
71Simplify 4x^{2}\cdot 13x^{3}.
72Simplify 16x^{2}\cdot 9x^{3}.
73Simplify x^{7}\cdot x^{2}.
74Simplify 7x^{2}\cdot 12x^{3}.
75Evaluate 6^{2}\cdot 6^{3}.
76Simplify 2x^{2}\cdot 16x^{3}.
77Simplify 3x^{2}\cdot 5x^{3}.
78Simplify 2x^{2}\cdot 10x^{3}.
79Evaluate 10^{7}\cdot 10^{8}.
80Simplify 4x^{2}\cdot 12x^{3}.
81Evaluate 5^{6}\cdot 5^{7}.
82Simplify 12x^{2}\cdot 10x^{3}.
83Evaluate 11^{5}\cdot 11^{6}.
84Simplify 4x^{2}\cdot 7x^{3}.
85Simplify 3x^{2}\cdot 6x^{3}.
86Simplify 13x^{2}\cdot 15x^{3}.
87Evaluate 11^{3}\cdot 11^{4}.
88Simplify 5x^{2}\cdot 16x^{3}.
89Simplify 15x^{2}\cdot 2x^{3}.
90Evaluate 8^{8}\cdot 8^{9}.
91Simplify 16x^{2}\cdot 15x^{3}.
92Simplify 11x^{2}\cdot 4x^{3}.
93Evaluate 12^{5}\cdot 12^{6}.
94Simplify 9x^{2}\cdot 5x^{3}.
95Simplify 15x^{2}\cdot 15x^{3}.
96Simplify 11x^{2}\cdot 2x^{3}.
97Evaluate 7^{4}\cdot 7^{5}.
98Simplify 15x^{2}\cdot 12x^{3}.
99Evaluate 7^{5}\cdot 7^{6}.
100Simplify 16x^{2}\cdot 2x^{3}.
101Evaluate 5^{8}\cdot 5^{9}.
102Simplify 14x^{2}\cdot 14x^{3}.
103Simplify 6x^{2}\cdot 13x^{3}.
104Simplify 3x^{2}\cdot 16x^{3}.
105Evaluate 2^{5}\cdot 2^{6}.
106Simplify 5x^{2}\cdot 7x^{3}.
107Simplify 15x^{2}\cdot 7x^{3}.
108Evaluate 7^{2}\cdot 7^{3}.
109Simplify 8x^{2}\cdot 4x^{3}.
110Simplify 5x^{2}\cdot 10x^{3}.
111Simplify 6x^{2}\cdot 5x^{3}.
112Simplify 6x^{2}\cdot 7x^{3}.
113Simplify x^{2}\cdot x^{7}.
114Evaluate 10^{5}\cdot 10^{6}.
115Simplify 8x^{2}\cdot 3x^{3}.
116Simplify 7x^{2}\cdot 11x^{3}.
117Simplify 9x^{2}\cdot 12x^{3}.
118Simplify 14x^{2}\cdot 3x^{3}.
119Evaluate 11^{2}\cdot 11^{3}.
120Simplify 16x^{2}\cdot 13x^{3}.
121Simplify 3x^{2}\cdot 8x^{3}.
122Simplify 9x^{2}\cdot 11x^{3}.
123Simplify 15x^{2}\cdot 10x^{3}.
124Evaluate 8^{7}\cdot 8^{8}.
125Simplify 14x^{2}\cdot 7x^{3}.
126Evaluate 5^{5}\cdot 5^{6}.
127Evaluate 15^{2}\cdot 15^{3}.
128Simplify 13x^{2}\cdot 14x^{3}.
129Evaluate 15^{6}\cdot 15^{7}.
130Evaluate 16^{3}\cdot 16^{4}.
131Simplify 12x^{2}\cdot 13x^{3}.
132Simplify 9x^{2}\cdot 2x^{3}.
133Simplify 2x^{2}\cdot 11x^{3}.
134Evaluate 2^{7}\cdot 2^{8}.
135Simplify 5x^{2}\cdot 2x^{3}.
136Evaluate 8^{3}\cdot 8^{4}.
137Simplify 6x^{2}\cdot 4x^{3}.
138Simplify 15x^{2}\cdot 11x^{3}.
139Simplify x^{8}\cdot x^{7}.
140Simplify 9x^{2}\cdot 16x^{3}.
141Simplify 3x^{2}\cdot 2x^{3}.
142Simplify 4x^{2}\cdot 6x^{3}.
143Simplify 10x^{2}\cdot 15x^{3}.
144Evaluate 7^{6}\cdot 7^{7}.
145Simplify x^{4}\cdot x^{3}.
146Simplify 9x^{2}\cdot 15x^{3}.
147Simplify 11x^{2}\cdot 11x^{3}.
148Simplify 5x^{2}\cdot 5x^{3}.
149Simplify 2x^{2}\cdot 7x^{3}.
150Simplify x^{3}\cdot x^{7}.
151Evaluate 9^{7}\cdot 9^{8}.
152Simplify x^{7}\cdot x^{7}.
153Simplify 13x^{2}\cdot 5x^{3}.
154Simplify 13x^{2}\cdot 13x^{3}.
155Simplify 2x^{2}\cdot 6x^{3}.
156Simplify 4x^{2}\cdot 5x^{3}.
157Simplify 9x^{2}\cdot 14x^{3}.
158Evaluate 4^{8}\cdot 4^{9}.
159Simplify 7x^{2}\cdot 6x^{3}.
160Simplify x^{7}\cdot x^{4}.
161Simplify x^{2}\cdot x^{8}.
162Simplify 14x^{2}\cdot 4x^{3}.
163Simplify x^{3}\cdot x^{3}.
164Simplify 8x^{2}\cdot 10x^{3}.
165Simplify x^{4}\cdot x^{7}.
166Simplify 11x^{2}\cdot 15x^{3}.
167Evaluate 12^{2}\cdot 12^{3}.
168Simplify 12x^{2}\cdot 5x^{3}.
169Simplify 2x^{2}\cdot 12x^{3}.
170Simplify 8x^{2}\cdot 7x^{3}.
171Simplify 2x^{2}\cdot 2x^{3}.
172Evaluate 14^{3}\cdot 14^{4}.
173Simplify x^{3}\cdot x^{8}.
174Simplify x^{2}\cdot x^{4}.
175Simplify 13x^{2}\cdot 8x^{3}.
176Simplify 4x^{2}\cdot 4x^{3}.
177Simplify x^{4}\cdot x^{8}.
178Evaluate 2^{6}\cdot 2^{7}.
179Evaluate 15^{5}\cdot 15^{6}.
180Simplify 15x^{2}\cdot 3x^{3}.
181Simplify x^{5}\cdot x^{2}.
182Simplify 5x^{2}\cdot 4x^{3}.
183Simplify 3x^{2}\cdot 12x^{3}.
184Simplify 12x^{2}\cdot 4x^{3}.
185Simplify 9x^{2}\cdot 7x^{3}.
186Evaluate 16^{2}\cdot 16^{3}.
187Simplify 13x^{2}\cdot 11x^{3}.
188Simplify 10x^{2}\cdot 3x^{3}.
189Simplify 4x^{2}\cdot 8x^{3}.
190Simplify x^{4}\cdot x^{6}.
191Evaluate 4^{3}\cdot 4^{4}.
192Evaluate 4^{7}\cdot 4^{8}.
193Simplify x^{5}\cdot x^{8}.
194Evaluate 4^{2}\cdot 4^{3}.
195Simplify 8x^{2}\cdot 12x^{3}.
196Evaluate 3^{5}\cdot 3^{6}.
197Simplify 8x^{2}\cdot 15x^{3}.
198Simplify x^{4}\cdot x^{2}.
199Simplify x^{6}\cdot x^{2}.
200Simplify 10x^{2}\cdot 11x^{3}.