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1.![5^{2} = 5 * 5 = 25\\2^{5} = 2 * 2 *2 *2*2 = 32 5^{2} = 5 * 5 = 25\\2^{5} = 2 * 2 *2 *2*2 = 32](https://tex.z-dn.net/?f=5%5E%7B2%7D%20%20%3D%205%20%2A%205%20%3D%2025%5C%5C2%5E%7B5%7D%20%3D%202%20%2A%202%20%2A2%20%2A2%2A2%20%3D%2032)
2.![7^{2} *3 = 49*3 = 147\\2(70) + 3 = 140 + 3 = 143 7^{2} *3 = 49*3 = 147\\2(70) + 3 = 140 + 3 = 143](https://tex.z-dn.net/?f=7%5E%7B2%7D%20%2A3%20%3D%2049%2A3%20%3D%20147%5C%5C2%2870%29%20%2B%203%20%3D%20140%20%2B%203%20%3D%20143)
3.![2(3^{2} +2^{2} ) = 2[(3*3)+(2*2)] = 2(9+4) = 2(13) = 26\\8^{2} = 8*8=64 2(3^{2} +2^{2} ) = 2[(3*3)+(2*2)] = 2(9+4) = 2(13) = 26\\8^{2} = 8*8=64](https://tex.z-dn.net/?f=2%283%5E%7B2%7D%20%2B2%5E%7B2%7D%20%29%20%3D%202%5B%283%2A3%29%2B%282%2A2%29%5D%20%3D%202%289%2B4%29%20%3D%202%2813%29%20%3D%2026%5C%5C8%5E%7B2%7D%20%3D%208%2A8%3D64)
4.![3^{2}+ 3^{2}+3^{2} = (3*3)+(3*3)+(3*3) = 9 + 9 +9 = 27\\3(3^{2}) = 3(3*3) = 3(9) = 27 3^{2}+ 3^{2}+3^{2} = (3*3)+(3*3)+(3*3) = 9 + 9 +9 = 27\\3(3^{2}) = 3(3*3) = 3(9) = 27](https://tex.z-dn.net/?f=3%5E%7B2%7D%2B%203%5E%7B2%7D%2B3%5E%7B2%7D%20%3D%20%283%2A3%29%2B%283%2A3%29%2B%283%2A3%29%20%3D%209%20%2B%209%20%2B9%20%3D%2027%5C%5C3%283%5E%7B2%7D%29%20%3D%203%283%2A3%29%20%3D%203%289%29%20%3D%2027)
5.![6(2+3)^{2} = 6(5)^{2} = 6(5*5)=6(25) = 150\\3+7^{2} = 3+ (7*7) = 3+49 = 52 6(2+3)^{2} = 6(5)^{2} = 6(5*5)=6(25) = 150\\3+7^{2} = 3+ (7*7) = 3+49 = 52](https://tex.z-dn.net/?f=6%282%2B3%29%5E%7B2%7D%20%3D%206%285%29%5E%7B2%7D%20%3D%206%285%2A5%29%3D6%2825%29%20%3D%20150%5C%5C3%2B7%5E%7B2%7D%20%3D%203%2B%20%287%2A7%29%20%3D%203%2B49%20%3D%2052)