Giải giúp mìn với mn owiiii :
a, 1.2.3…9 – 1.2.3….8 – 1.2.3…..7.8^2
b, (3.4.2^16)^2/ 11.2^13.4^11- 16^9
c, 125.(-61).(-2)^3 .(-1) ^2n (n thuộc N*)
Tks mnnnnn
Giải giúp mìn với mn owiiii :
a, 1.2.3…9 – 1.2.3….8 – 1.2.3…..7.8^2
b, (3.4.2^16)^2/ 11.2^13.4^11- 16^9
c, 125.(-61).(-2)^3 .(-1) ^2n (n thuộc N*)
Tks mnnnnn
a)
$1.2.3…9 – 1.2.3…8 – 1.2.3…7.8²$
$= 1.2.3…8.(9-1) – 1.2.3…7.8²$
$= 1.2.3…7.8.8 – 1.2.3…7.8²$
$= 0$
b)
$\dfrac{(3.4.2^{16})²}{11.2^{13}.4^{11}-16^{9}}$
$= \dfrac{(3.2².2^{16})²}{11.2^{13}.2^{22}-2^{36}}$
$= \dfrac{(3.2^{18})²}{11.2^{35}-2^{36}}$
$= \dfrac{3².2^{36}}{2^{35}(11-2)}$
$= \dfrac{9.2^{36}}{2^{35}.9}$
$ = 2$
c)
$125.(-61).(-2)³.(-1)^{2n}$
$=125.(-61).(-8).1$
$= (-1000).(-61)$
$= 61000$
Đáp án:
Giải thích các bước giải:
a) $1.2.3…9-1.2.3…8-1.2.3…7.8²$
= $1.2.3…8(9-1-8)$
= $1.2.3…8.0$
= $0$
b) $\frac{(3.4.2^{16})^{2}}{11.2^{13}.4^{11}-16^{9}}$
= $\frac{(3.4.2^{16})^{2}}{11.2^{13}.4{11}-16^{9}}$
= $\frac{9.2^{36}}{2^{35}(11-2)}=\frac{18}{9}=2$
c) $125.(-61).(-2)^{3} .(-1)^{2n}$
= $125.61.8$
= $1000.61$
= $61000$