tính hợp lí:2^7x9^2/3^3x2^5
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=\(\frac{2^52^2x3^4}{3^3x2^5}\)=\(\frac{2^23^33}{3^3}\)=4.3=12
Ta có:
A = \(\frac{2}{1x3}+\frac{2}{3x5}+\frac{2}{5x7}+\frac{2}{7x9}+\frac{2}{9x11}\)
= \(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\)
= \(\frac{1}{1}-\frac{1}{11}\)
=\(\frac{10}{11}\)
thực hiện phép tính bằng cách hợp lí (nếu có thể)
a,136:{[(468+332):160-5]+68}+2014
= 136 : { [ ( 468 + 332 ) : 160 - 5 ] + 68 } + 2014
= 136 : { [ 800 : 160 - 5 ] + 68 } + 2014
= 136 : { [ 5 - 5 ] + 68 } + 2014
= 136 : { 0 + 68 } + 2014
= 136 : 68 + 2014
= 2 + 2014
= 2016
\(136:\left\{\left[\left(468+332\right):160-5\right]+68\right\}+2014\)
\(=136:\left[\left(800:160-5\right)+68\right]+2014\)
\(=136:\left[\left(5-5\right)+68\right]+2014\)
\(=136:\left(0+68\right)+2014\)
\(=136:68+2014=2+2014\)
\(=2016\)
b, Ta có : \(\frac{2^7x9^2}{3^3x2^5}=\frac{2^52^2x3^23.3}{3.3^2x2^5}=\frac{2^2x3}{x}=12\)
a) = 4x ( 12 + 1 ) +5
= 4 x 13 + 5
= 57
b)= (8x4 + 8x6) +8x 5
= 8x 10 + 8x5
= 80 + 40
= 120
c) = 2 + 3x2 + 4x2 + 3x2
= 2 + ( 2 x 10 )
= 2 + 20
= 22
(1/2-2/3)-(5/3-3/2)+(7/3-5/2)
=1/2-2/3-5/3+3/2+7/3-5/2
=(1/2+3/2-5/2)-(2/3+5/3-7/3)
=-1/2-0=-1/2
\(-\dfrac{2}{5}.\dfrac{4}{7}+\dfrac{-3}{5}.\dfrac{2}{7}+\dfrac{-3}{5}\)
= \(\dfrac{-8}{35}+\dfrac{-6}{35}+\dfrac{-3}{5}\)
=\(\dfrac{-8-6-21}{35}\)
=\(\dfrac{-35}{35}\)
=-1
`(-2)/5.4/7+(-3)/5.2/7+(-3)/5`
`=(-8)/3 +(-6)/35+(-3)/5`
`=(-8)-6-21/35`
`=(-35)/35`
`=(-1)`
`@Nae`
917749738461936926399639748776398646491639394748947630373937366
ta có \(2^7.9^2:3^3.2^5\)
=\(2^7.3^4:3^2.2^5\)
=\(\left(2^7.2^5\right):\left(3^4.3^3\right)\)
=\(2^{12}:3^7\)
=\(4096:2187\)=\(1,872885231\approx2\)