<transcript><audio_35> Então, todo esse pedaço vira 1 e isso fica congruente a 128. Mas note que 121 é múltiplo de 11. Portanto, isso aqui...</transcript><video><caption><image_36>The image shows a man standing in front of a green chalkboard. He is wearing a black t-shirt and appears to be writing on the chalkboard with a marker. The chalkboard is filled with mathematical equations and formulas written in white chalk. The equations are written in Spanish and appear to be related to mathematics. The man is standing with his back to the camera, and his body is facing towards the right side of the image. He seems to be focused on the task at hand.</caption><caption><image_37>The image shows a man standing in front of a green chalkboard with mathematical equations written on it. He is wearing a black t-shirt with white stripes and appears to be giving a presentation or lecture. The equations are written in white chalk and are arranged in a grid-like pattern. The man is pointing to one of the equations with his right hand and is gesturing with his left hand as if he is explaining something. The background is blurred, but it seems like the man is standing in a classroom or a classroom setting.</caption><caption><image_38>The image shows a man standing in front of a green chalkboard. He is wearing a black t-shirt and appears to be in a classroom or a classroom setting. On the blackboard, there are various mathematical equations written in white chalk. The equations are written in different sizes and are arranged in a grid-like pattern. The man is pointing to one of the equations with his right hand, as if he is explaining something. He has a serious expression on his face and is focused on the task at hand.</caption></video><video><caption><image_39>The image shows a man standing in front of a green chalkboard with mathematical equations written on it. The equations are written in white chalk and appear to be related to algebraic equations. The man is wearing a black t-shirt and is looking off to the side with a serious expression on his face. The image appears to be taken in a classroom or a classroom setting.</caption><caption><image_40>The image shows a man standing in front of a green chalkboard. He is wearing a black t-shirt with white stripes and appears to be a teacher or a student. The chalkboard is filled with mathematical equations written in white chalk. The equations are written in a neat and organized manner, and the man is pointing to one of them with his right hand. He seems to be explaining the equations to the viewer.</caption></video><transcript><audio_41> Então 7 é a classe de equivalência do nosso número, da nossa potência de 2, módulo 11. E finalmente, nós vamos achar a classe de equivalência da nossa potência de 2, módulo</transcript><transcript><audio_42> vez o fato desse número ser primo me permite usar o pequeno teorema de fermato. Então nós vamos dividir 327 por p menos 1, que nesse caso é 18,</transcript><transcript><audio_43> 1, sobrarão 14, aí eu fico com 147, aqui vai dar 8, 117,</transcript><video><caption><image_44>The image shows a man standing in front of a green chalkboard with mathematical equations written on it. He is wearing a black t-shirt and appears to be a teacher or a student. The equations are written in white chalk and are arranged in a grid-like pattern. The man is looking up at the equations with a focused expression on his face. The background of the image is blurred, but it seems like he is standing in a classroom or a classroom setting.</caption><caption><image_45>The image shows a man standing in front of a green chalkboard. He is wearing a black t-shirt and appears to be a teacher or a student. The chalkboard is filled with mathematical equations written in white chalk. The equations are written in a neat and organized manner, with some of them overlapping each other. The man is pointing to one of the equations with his right hand, as if he is explaining them to the viewer. The background of the image is blurred, so the focus is on the man and the equations.</caption></video> congruent to 1 module 11 so this whole piece becomes one and this is congruent to 128 but Note that 121 is a multiple of 11 so this here will be congruent to 7 So 7 is the equivalence class of our number of our power of 2 modulo 11 and Finally we will find the equivalence class of our power of modulo 19 once again the fact that this number is prime allows me  use the little firming theorem So we are going to divide 327 by P - 1 which in this case is 18 so that will give 1 leaving 14 so I get 147 here it will give 8
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