Sơ đồ thể hiện tác động tiêu cực của việc gia tăng dân số quá nhanh ở đới nóng đối với tài nguyên, môi trường.

Ta có:

\(\dfrac{2^5.15^3}{6^3.10^2}=\dfrac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}=\dfrac{8.1.5}{8.1.1.1}=\dfrac{40}{8}=5\)

a) \(\dfrac{2^4.2^6}{\left(2^5\right)^2}.2008\)

\(=\dfrac{2^{\left(4+6\right)}}{2^{5.2}}.2008\)

\(=\dfrac{2^{10}}{2^{10}}.2008\)

\(=1.2008\)

\(=2008\)

b) \(\dfrac{2^5.15^3}{6^3.10^2}\)

\(=\dfrac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(2.5\right)^2}=\dfrac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}=\dfrac{2^5.3^3.5^3}{2^5.3^3.5^2}=\dfrac{5^3}{5^2}=5\)

Chúc bạn học tốt

\(\dfrac{2^4.2^6}{\left(2^5\right)^2}-\dfrac{2^5.15^3}{6^3.10^2}=\dfrac{2^{10}}{2^{10}}-\dfrac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}\)

=\(1-\dfrac{5^3}{5^2}\) = \(1-5=-4\)

\(=\frac{2^{10}}{2^{10}}-\frac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}\)

\(=1-5=-4\)

ik nhé. tks bạn!

a) -4

b) 5.75

\(m=\frac{2^5.15^3}{6^3.10^2}=\frac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(5.2\right)^2}=\frac{2^5.3^3.5^3}{2^5.3^3.5^2}=5\)\(5\)

\(m=\frac{2^5.15^3}{6^3.10^2}=\frac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(2.5\right)^2}=\frac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}=5\)

\(=\frac{2^{10}}{2^{10}}-\frac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(2.5\right)^2}=1-\frac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}=1-\frac{2^5.3^3.5^3}{2^5.3^3.5^2}=1-5=-4\)