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Respuestas
Respuesta:
1 Simplifica {4}^{35}4
35
a 1.180592\times {10}^{21}1.180592×10
21
.
1.180592\times {10}^{21}\times {5}^{80}\times {4}^{100}\times {5}^{90}\times {4}^{25}\times {5}^{23}
1.180592×10
21
×5
80
×4
100
×5
90
×4
25
×5
23
2 Simplifica {5}^{80}5
80
a 8.271806\times {10}^{55}8.271806×10
55
.
1.180592\times {10}^{21}\times 8.271806\times {10}^{55}\times {4}^{100}\times {5}^{90}\times {4}^{25}\times {5}^{23}
1.180592×10
21
×8.271806×10
55
×4
100
×5
90
×4
25
×5
23
3 Simplifica {4}^{100}4
100
a 1.606938\times {10}^{60}1.606938×10
60
.
1.180592\times {10}^{21}\times 8.271806\times {10}^{55}\times 1.606938\times {10}^{60}\times {5}^{90}\times {4}^{25}\times {5}^{23}
1.180592×10
21
×8.271806×10
55
×1.606938×10
60
×5
90
×4
25
×5
23
4 Simplifica {5}^{90}5
90
a 8.077936\times {10}^{62}8.077936×10
62
.
1.180592\times {10}^{21}\times 8.271806\times {10}^{55}\times 1.606938\times {10}^{60}\times 8.077936\times {10}^{62}\times {4}^{25}\times {5}^{23}
1.180592×10
21
×8.271806×10
55
×1.606938×10
60
×8.077936×10
62
×4
25
×5
23
5 Simplifica {4}^{25}4
25
a 11258999068426241125899906842624.
1.180592\times {10}^{21}\times 8.271806\times {10}^{55}\times 1.606938\times {10}^{60}\times 8.077936\times {10}^{62}\times 1125899906842624\times {5}^{23}
1.180592×10
21
×8.271806×10
55
×1.606938×10
60
×8.077936×10
62
×1125899906842624×5
23
6 Simplifica {5}^{23}5
23
a 1192092895507812511920928955078125.
1.180592\times {10}^{21}\times 8.271806\times {10}^{55}\times 1.606938\times {10}^{60}\times 8.077936\times {10}^{62}\times 1125899906842624\times 11920928955078125
1.180592×10
21
×8.271806×10
55
×1.606938×10
60
×8.077936×10
62
×1125899906842624×11920928955078125
7 Simplifica.
1.701412\times {10}^{33}\times {10}^{21}\times {10}^{55}\times {10}^{60}\times {10}^{62}
1.701412×10
33
×10
21
×10
55
×10
60
×10
62
8 Usa Regla del Producto: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
.
1.701412\times {10}^{231}
1.701412×10
231
No.2
1 Simplifica {7}^{3}7
3
a 343343.
343\times {8}^{8}\times {7}^{10}\times {8}^{9}\times {7}^{2}\times {8}^{2}
343×8
8
×7
10
×8
9
×7
2
×8
2
2 Simplifica {8}^{8}8
8
a 1677721616777216.
343\times 16777216\times {7}^{10}\times {8}^{9}\times {7}^{2}\times {8}^{2}
343×16777216×7
10
×8
9
×7
2
×8
2
3 Simplifica {7}^{10}7
10
a 282475249282475249.
343\times 16777216\times 282475249\times {8}^{9}\times {7}^{2}\times {8}^{2}
343×16777216×282475249×8
9
×7
2
×8
2
4 Simplifica {8}^{9}8
9
a 134217728134217728.
343\times 16777216\times 282475249\times 134217728\times {7}^{2}\times {8}^{2}
343×16777216×282475249×134217728×7
2
×8
2
5 Simplifica {7}^{2}7
2
a 4949.
343\times 16777216\times 282475249\times 134217728\times 49\times {8}^{2}
343×16777216×282475249×134217728×49×8
2
6 Simplifica {8}^{2}8
2
a 6464.
343\times 16777216\times 282475249\times 134217728\times 49\times 64
343×16777216×282475249×134217728×49×64
7 Simplifica 343\times 16777216343×16777216 a 57545850885754585088.
5754585088\times 282475249\times 134217728\times 49\times 64
5754585088×282475249×134217728×49×64
8 Simplifica 5754585088\times 2824752495754585088×282475249 a 16255278556244869121625527855624486912.
1625527855624486912\times 134217728\times 49\times 64
1625527855624486912×134217728×49×64
9 Simplifica 1625527855624486912\times 1342177281625527855624486912×134217728 a 2.181747\times {10}^{26}2.181747×10
26
.
2.181747\times {10}^{26}\times 49\times 64
2.181747×10
26
×49×64
10 Simplifica.
6841.957199\times {10}^{26}
6841.957199×10
26