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04 September 2023 23:11

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04 September 2023 23:11

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Nanda R

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05 September 2023 00:10

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Irfan K

05 September 2023 13:08

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Sumber W

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05 September 2023 00:37

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<p>1. a. (7<sup>11</sup>)<sup>7</sup> : (7<sup>7</sup>)<sup>5</sup> = 7<sup>77</sup> : 7<sup>35</sup> = 7<sup>42</sup></p><p>&nbsp; &nbsp; &nbsp;b. (5<sup>3</sup>)<sup>4</sup> x (5<sup>2</sup>)<sup>3</sup> = 5<sup>12</sup> x 5<sup>6</sup> = 5<sup>18</sup></p><p>&nbsp;</p><p>2. a. 7<sup>2</sup> + 7<sup>3</sup> = 49 + 343 = 392</p><p>&nbsp; &nbsp; &nbsp;b. 9<sup>3</sup> - 9<sup>2</sup> x 9<sup>0</sup> = 729 - 81 x 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 729 - 81</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 648</p><p>&nbsp;</p><p>3. a. √1369 - √144 = 37 - 12 = 25</p><p>&nbsp; &nbsp; &nbsp;b. -7√45 + 2√5 = -7(√(9 x 5) + 2√5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= -7(3√5) + 2√5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= -21√5 + 2√5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= -19√5</p>

1. a. (711)7 : (77)5 = 777 : 735 = 742

     b. (53)4 x (52)3 = 512 x 56 = 518

 

2. a. 72 + 73 = 49 + 343 = 392

     b. 93 - 92 x 90 = 729 - 81 x 1

                                = 729 - 81

                                = 648

 

3. a. √1369 - √144 = 37 - 12 = 25

     b. -7√45 + 2√5 = -7(√(9 x 5) + 2√5

                                   = -7(3√5) + 2√5

                                   = -21√5 + 2√5

                                   = -19√5


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