tính nhanh:
a) 612 x 64 - 60/4 + 671 - 64
b) 256 + 399 x 255/ 256 x 399 - 143
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\(A=\dfrac{255+399\cdot255+1}{255\cdot399+1\cdot399-143}\)
\(=\dfrac{255\cdot399+256}{255\cdot399+256}=1\)
a) \(64^x:16^x=256\)
\(\Rightarrow\left(2^6\right)^x:\left(2^4\right)^x=2^8\)
\(\Rightarrow2^{6x}:2^{4x}=2^8\)
\(\Rightarrow2^{6x-4x}=2^8\)
\(\Rightarrow2^{2x}=2^8\)
\(\Rightarrow2x=8\)
\(\Rightarrow x=4\)
b) \(\dfrac{-2401}{7^x}=-7\)
\(\Rightarrow\dfrac{-7^4}{7^x}=-7\)
\(\Rightarrow-7^{4-x}=-7\)
\(\Rightarrow7^{4-x}=7\)
\(\Rightarrow4-x=1\)
\(\Rightarrow x=4-1\)
\(\Rightarrow x=3\)
c) \(\dfrac{64}{\left(-4\right)^x}=-256\)
\(\Rightarrow\left(-4\right)^x=\dfrac{64}{-256}\)
\(\Rightarrow\left(-4\right)^x=-4\)
\(\Rightarrow\left(-4\right)^x=\left(-4\right)^1\)
\(\Rightarrow x=1\)
\(a) 64^x:16^x=256\\\Rightarrow (64:16)^x=256\\\Rightarrow 4^x=4^4\\\Rightarrow x=4\\---\)
\(b,\dfrac{-2401}{7^x}=-7\)
\(\Rightarrow7^x=-2401:\left(-7\right)\)
\(\Rightarrow7^x=343\)
\(\Rightarrow7^x=7^3\)
\(\Rightarrow x=3\)
\(c,\dfrac{64}{\left(-4\right)^x}=-256\)
\(\Rightarrow\left(-4\right)^x=64:\left(-256\right)\)
\(\Rightarrow\left(-4\right)^x=-\dfrac{1}{4}\)
\(\Rightarrow\left(-4\right)^x=\left(-4\right)^{-1}\)
\(\Rightarrow x=-1\)
#\(Toru\)
45 x 399 + 35 x 399 + 20 x 399
= ( 45 + 35 + 20 ) x 399
= 100 x 399
= 39900
a)184 x 72 + 184 x 27 + 184
=184 x 72 + 184 x 27 + 184 x 1
= 184 x (72 + 27 + 1 )
=184 x 100=18400
c)1999 x 346 + 1999 + 653 x 1999
=1999 x 346 + 1999 + 653 x 1999 x 1
= 1999 x ( 346 + 653 + 1 )
= 1999 x 1000=1999000
e)23 x 5 x 7 x 4
= ( 23 x 7) x( 5 x 4)
= 161 x 20= 3220
b)1996 x 1257 – 1996 – 256 x 1996
=1996 x 1257 – 1996 – 256 x 1996 x 1
= 1996 x ( 1257 - 256 - 1 )
= 1996 x 1000= 1996000
A=39760. b=158692,1211