Text: Loch Ness is a very large, deep lake in Scotland. Many people think a monster lives in it. The first
report of Nessie was in the sixth century when a man saw a monster in the water.
Possible explanations are that Nessie is a giant cel, a large bird, a tree, a seal or a dinosaur
Then, in 1933, George Spicer and his wife saw Nessie again -- she crossed the road in front of their car. The neid
year, a photo was taken of Nessie, which became very famous. It was taken by a doctor - but the photo turned
out to be fake.
Since then, some people have tried to take photos and videos, but Nessie is very shy and the pictures are not very
clear. People have also tried exploring the lake, but it is very deep and very dark, so it was quite difficult. Some
people watched the lake, while other people used equipment like underwater cameras, microphones and sonar to
scan the lake carefully. No one has found anything definite.
There are lots of possible explanations for what people have seen in Loch Ness. Maybe the monster is just a giant
el, a large bird, a tree or a seal. A few people even think it could be a plesiosaur, which is a type of dinosaur.
Приведение к стандартному виду:
\begin{gathered}\displaystyle 2,\!1 \cdot a^2 b^2 c^4 \cdot \bigg ( - 1\frac{3}{7} \bigg ) \cdot bc^3 d = - \bigg ( \frac{21}{10} \cdot \frac{10}{7} \bigg ) \cdot a^2 \cdot b^2b \cdot c^4c^3 \cdot d = = - \frac{21}{7} \cdot a^2 \cdot b^{2+1} \cdot c^{4+3} \cdot d = \boxed {- 3a^2 b^3c ^7d}\end{gathered}2,1⋅a2b2c4⋅(−173)⋅bc3d=−(1021⋅710)⋅a2⋅b2b⋅c4c3⋅d==−721⋅a2⋅b2+1⋅c4+3⋅d=−3a2b3c7d
Коэффициент одночлена: \boxed {-3}−3 .
Задание 2.
Формула для нахождения объема прямоугольного параллелепипеда (VV - объем; xx , yy , zz - измерения прямоугольного параллелепипеда): V=xyzV=xyz .
Значит, объем исходного параллелепипеда равен:
\begin{gathered}V = \Big (4a^2b^5 \Big ) \cdot \Big (3ab^2 \Big ) \cdot \Big (2ab \Big ) = \Big (4 \cdot 3 \cdot 2 \Big ) \cdot a^2aa \cdot b^5b^2b = = 24 \cdot a^{2+1+1} \cdot b^{5+2+1} =\boxed {24a^4b^8}\end{gathered}V=(4a2b5)⋅(3ab2)⋅(2ab)=(4⋅3⋅2)⋅a2aa⋅b5b2b==24⋅a2+1+1⋅b5+2+1=24a4b8