Question

Giải chi tiết

Answer 1

1: \(=2^{20}\cdot2^{45}=2^{65}\)

2: \(=2^{30}\cdot5^{30}=10^{30}\)

3: \(=\dfrac{2^{10}\cdot13\cdot8}{2^8\cdot104}=2^2\)

Answer 2

1) \(4^{10}\cdot8^{15}=\left(2^2\right)^{10}\cdot\left(2^3\right)^{15}=2^{20}\cdot2^{45}=2^{65}\)

2) \(4^{15}\cdot5^{30}=\left(2^2\right)^{15}\cdot5^{30}=2^{30}\cdot5^{30}=10^{30}\)

3) \(\dfrac{2^{10}\cdot13+2^{10}\cdot65}{2^8\cdot104}\)

\(=\dfrac{2^{10}\cdot\left(13+65\right)}{2^8\cdot104}\)

\(=\dfrac{2^{10}\cdot78}{2^8\cdot104}\)

\(=2^2\cdot\dfrac{78}{104}\)

\(=4\cdot\dfrac{3}{4}\)

\(=\dfrac{12}{4}=3\)