Ответ:
1)0,8
2)6
3)32
4)27
5)вроде 13
6(
7)
^^
Объяснение:
1)
2)
3)
4)
5)
6)9*2*14=252
8)
9)
10)
11)
12)
13)
14)
15)
16)
)))
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Answers & Comments
Ответ:
1)0,8
2)6
3)32
4)27
5)вроде 13
6(
7)
Ответ:
^^
Объяснение:
1)![\frac{(4\sqrt{3}) ^{2} }{60}=\frac{48}{60}=0,8 \frac{(4\sqrt{3}) ^{2} }{60}=\frac{48}{60}=0,8](https://tex.z-dn.net/?f=%5Cfrac%7B%284%5Csqrt%7B3%7D%29%20%5E%7B2%7D%20%7D%7B60%7D%3D%5Cfrac%7B48%7D%7B60%7D%3D0%2C8)
2)![\frac{72}{12}=6 \frac{72}{12}=6](https://tex.z-dn.net/?f=%5Cfrac%7B72%7D%7B12%7D%3D6)
3)![\frac{(a^4)^{-3}}{a^{-17}}= \frac{a^{-12}}{a^{-17}}=a^{-12-(-17)}=a^5=2^5=32 \frac{(a^4)^{-3}}{a^{-17}}= \frac{a^{-12}}{a^{-17}}=a^{-12-(-17)}=a^5=2^5=32](https://tex.z-dn.net/?f=%5Cfrac%7B%28a%5E4%29%5E%7B-3%7D%7D%7Ba%5E%7B-17%7D%7D%3D%20%5Cfrac%7Ba%5E%7B-12%7D%7D%7Ba%5E%7B-17%7D%7D%3Da%5E%7B-12-%28-17%29%7D%3Da%5E5%3D2%5E5%3D32)
4)![a^6*a^{19}:a^{22}=a^{6+19-22}=a^3=3^3=27 a^6*a^{19}:a^{22}=a^{6+19-22}=a^3=3^3=27](https://tex.z-dn.net/?f=a%5E6%2Aa%5E%7B19%7D%3Aa%5E%7B22%7D%3Da%5E%7B6%2B19-22%7D%3Da%5E3%3D3%5E3%3D27)
5)![\frac{\sqrt{65} \sqrt{13} }{\sqrt{5} } =\frac{\sqrt{5}\sqrt{13} \sqrt{13} }{\sqrt{5} } =13 \frac{\sqrt{65} \sqrt{13} }{\sqrt{5} } =\frac{\sqrt{5}\sqrt{13} \sqrt{13} }{\sqrt{5} } =13](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B65%7D%20%5Csqrt%7B13%7D%20%7D%7B%5Csqrt%7B5%7D%20%7D%20%3D%5Cfrac%7B%5Csqrt%7B5%7D%5Csqrt%7B13%7D%20%20%5Csqrt%7B13%7D%20%7D%7B%5Csqrt%7B5%7D%20%7D%20%3D13)
6)9*2*14=252
7)![\frac{1}{5}x^2y^4=\frac{1}{5}*25*16 =5*16=80 \frac{1}{5}x^2y^4=\frac{1}{5}*25*16 =5*16=80](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Dx%5E2y%5E4%3D%5Cfrac%7B1%7D%7B5%7D%2A25%2A16%20%3D5%2A16%3D80)
8)![\frac{5^9*9^6}{(5*9)^6} =\frac{5^9*9^6}{5^6*9^6} =5^{9-6}=5^3=125 \frac{5^9*9^6}{(5*9)^6} =\frac{5^9*9^6}{5^6*9^6} =5^{9-6}=5^3=125](https://tex.z-dn.net/?f=%5Cfrac%7B5%5E9%2A9%5E6%7D%7B%285%2A9%29%5E6%7D%20%3D%5Cfrac%7B5%5E9%2A9%5E6%7D%7B5%5E6%2A9%5E6%7D%20%3D5%5E%7B9-6%7D%3D5%5E3%3D125)
9)![a^{-12-(-15)}=a^3=2^3=8 a^{-12-(-15)}=a^3=2^3=8](https://tex.z-dn.net/?f=a%5E%7B-12-%28-15%29%7D%3Da%5E3%3D2%5E3%3D8)
10)![\sqrt{(a+6b)^2}= \sqrt{(\frac{41}{5} +\frac{24}{5} )^2}=13 \sqrt{(a+6b)^2}= \sqrt{(\frac{41}{5} +\frac{24}{5} )^2}=13](https://tex.z-dn.net/?f=%5Csqrt%7B%28a%2B6b%29%5E2%7D%3D%20%5Csqrt%7B%28%5Cfrac%7B41%7D%7B5%7D%20%2B%5Cfrac%7B24%7D%7B5%7D%20%29%5E2%7D%3D13)
11)![\sqrt{\frac{1}{25}a^4} =0,2a^2=0,2*4^2=3,2 \sqrt{\frac{1}{25}a^4} =0,2a^2=0,2*4^2=3,2](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B1%7D%7B25%7Da%5E4%7D%20%3D0%2C2a%5E2%3D0%2C2%2A4%5E2%3D3%2C2)
12)![\frac{4^9}{64^2}=\frac{4^9}{(4*4*4)^2}=\frac{4^9}{4^6}=4^3=64 \frac{4^9}{64^2}=\frac{4^9}{(4*4*4)^2}=\frac{4^9}{4^6}=4^3=64](https://tex.z-dn.net/?f=%5Cfrac%7B4%5E9%7D%7B64%5E2%7D%3D%5Cfrac%7B4%5E9%7D%7B%284%2A4%2A4%29%5E2%7D%3D%5Cfrac%7B4%5E9%7D%7B4%5E6%7D%3D4%5E3%3D64)
13)![\sqrt{13} ^2-\sqrt{2}^2=13-2=11 \sqrt{13} ^2-\sqrt{2}^2=13-2=11](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D%20%5E2-%5Csqrt%7B2%7D%5E2%3D13-2%3D11)
14)![5^{-3+(7-2)}=5^{2}=25 5^{-3+(7-2)}=5^{2}=25](https://tex.z-dn.net/?f=5%5E%7B-3%2B%287-2%29%7D%3D5%5E%7B2%7D%3D25)
15)![\sqrt{64}-2=8-2=6 \sqrt{64}-2=8-2=6](https://tex.z-dn.net/?f=%5Csqrt%7B64%7D-2%3D8-2%3D6)
16)![\sqrt{0,5} \frac{1}{\sqrt{0,5}\sqrt{100} } =0,1 \sqrt{0,5} \frac{1}{\sqrt{0,5}\sqrt{100} } =0,1](https://tex.z-dn.net/?f=%5Csqrt%7B0%2C5%7D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B0%2C5%7D%5Csqrt%7B100%7D%20%20%7D%20%3D0%2C1)
)))