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\(D=\frac{4^7.2^8}{3.2^{15}.16^2+5.2.\left(2^{10}\right)^2}\)
\(=\frac{2^{14}.2^8}{3.2^{15}.2^8+5.2.2^{20}}\)
\(=\frac{2^{22}}{3.2^{23}+5.2^{21}}\)
\(=\frac{2^{22}}{2^{21}.\left(2^2.3+5\right)}\)
\(=\frac{2}{2^2.3+5}\)
\(=\frac{2}{17}\)
\(D=\frac{\left(2^2\right)^7.2^8}{3.2^{15}.\left(2^4\right)^2+5.2^2.2^{20}}\)
\(=\frac{2^{14}.2^8}{3.2^{15}.2^8+5.2^{22}}\)
\(=\frac{2^{22}}{3.2^{23}+5.2^{22}}\)
\(=\frac{2^{22}}{2^{22}\left(3.2+5\right)}=\frac{1}{11}\)
3:
a: (a-b+c)-(c-b-a)
=a-b+c-c+b+a
=2a
b: \(-\left(a-b\right)+\left(b-c+a\right)-\left(a+b-c\right)\)
\(=-a+b+b-c+a-a-b+c\)
\(=b-a\)
c: \(-\left(a-b-c\right)-\left(-a+b+c\right)-\left(a-b+c\right)\)
\(=-a+b+c+a-b-c-a+b-c\)
\(=-a+b-c\)
2:
a: \(12-\left(-12\right)=12+12=24\)
b: \(-\left(35-49\right)+\left(27-49\right)=-35+49+27-49\)
=-35+27
=-8
c: \(47-\left(59-63\right)+\left(63-47\right)\)
\(=47-59+63+63-47\)
=126-59
=67
d: \(-\left(-20\right)-\left(-30\right)-70\)
=20+30-70
=50-70
=-20
Lời giải:
$(5.2^{13}.2^{22}-2^{36}):(3.2^{34})$
$=(5.2^{35}-2^{36}):(3.2^{34})=2^{35}(5-2):(3.2^{34})$
$=2^{35}.3:(3.2^{34})=2^{35}:2^{34}=2$