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30. ![\frac{(2 \times 2)^2}{2^2 \times 2^2} = \frac{2^2 \times 2^2}{2^2 \times 2^2}=1 \frac{(2 \times 2)^2}{2^2 \times 2^2} = \frac{2^2 \times 2^2}{2^2 \times 2^2}=1](https://tex.z-dn.net/?f=%5Cfrac%7B%282+%5Ctimes+2%29%5E2%7D%7B2%5E2+%5Ctimes+2%5E2%7D+%3D+%5Cfrac%7B2%5E2+%5Ctimes+2%5E2%7D%7B2%5E2+%5Ctimes+2%5E2%7D%3D1)
31.![\frac{(5+5)^3}{10 \times 10^2} = \frac{10^3}{10^{1+2}}= \frac{10^3}{10^3}=1 \frac{(5+5)^3}{10 \times 10^2} = \frac{10^3}{10^{1+2}}= \frac{10^3}{10^3}=1](https://tex.z-dn.net/?f=%5Cfrac%7B%285%2B5%29%5E3%7D%7B10+%5Ctimes+10%5E2%7D+%3D+%5Cfrac%7B10%5E3%7D%7B10%5E%7B1%2B2%7D%7D%3D+%5Cfrac%7B10%5E3%7D%7B10%5E3%7D%3D1)
32.![\frac{\Big [ (-4)^6 \times (-4)^3 \Big] }{(-4)^8} = \frac{(-4)^{6+3}}{(-4)^8}= \frac{(-4)^9}{(-4)^8} = (-4)^{9-8}=(-4)^1 =-4 \frac{\Big [ (-4)^6 \times (-4)^3 \Big] }{(-4)^8} = \frac{(-4)^{6+3}}{(-4)^8}= \frac{(-4)^9}{(-4)^8} = (-4)^{9-8}=(-4)^1 =-4](https://tex.z-dn.net/?f=%5Cfrac%7B%5CBig+%5B+%28-4%29%5E6+%5Ctimes+%28-4%29%5E3+%5CBig%5D+%7D%7B%28-4%29%5E8%7D+%3D+%5Cfrac%7B%28-4%29%5E%7B6%2B3%7D%7D%7B%28-4%29%5E8%7D%3D+%5Cfrac%7B%28-4%29%5E9%7D%7B%28-4%29%5E8%7D+%3D+%28-4%29%5E%7B9-8%7D%3D%28-4%29%5E1+%3D-4)
33.![\frac{\Big[ (1)^14 \times (1)^22\Big] }{(120)^0} = \frac{1 \times 1}{1} = 1 \frac{\Big[ (1)^14 \times (1)^22\Big] }{(120)^0} = \frac{1 \times 1}{1} = 1](https://tex.z-dn.net/?f=%5Cfrac%7B%5CBig%5B+%281%29%5E14+%5Ctimes+%281%29%5E22%5CBig%5D+%7D%7B%28120%29%5E0%7D+%3D+%5Cfrac%7B1+%5Ctimes+1%7D%7B1%7D+%3D+1)
34.![\frac{64 \times 25}{5\times 2^2} = \frac{5^2 \times 2^6}{5 \times 2^2} = 5^{2-1}\times 2^{6-2} = 5^1 \times 2^4 = 5 \times 16 = 80 \frac{64 \times 25}{5\times 2^2} = \frac{5^2 \times 2^6}{5 \times 2^2} = 5^{2-1}\times 2^{6-2} = 5^1 \times 2^4 = 5 \times 16 = 80](https://tex.z-dn.net/?f=%5Cfrac%7B64+%5Ctimes+25%7D%7B5%5Ctimes+2%5E2%7D+%3D+%5Cfrac%7B5%5E2+%5Ctimes+2%5E6%7D%7B5+%5Ctimes+2%5E2%7D+%3D+5%5E%7B2-1%7D%5Ctimes+2%5E%7B6-2%7D+%3D+5%5E1+%5Ctimes+2%5E4+%3D+5+%5Ctimes+16+%3D+80)
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