\(4^{10}\cdot8^{15}\)
\(=\left(2^2\right)^{10}\cdot\left(2^3\right)^{15}\)
\(=2^{20}\cdot2^{45}\)
\(=2^{30+45}\)
\(=2^{75}\)
\(a;4^{10}\cdot8^{15}=2^{20}\cdot2^{45}=2^{65}\)
\(b;4^{15}\cdot5^{30}=2^{30}\cdot5^{30}=10^{30}\)
Bài làm
a) 410 . 815
= ( 22 )10 . ( 23 )15
= 220 . 245
= 265
b) 415 . 530
= 415 . ( 52 )15
= 415 . 2515
= ( 4 . 25 )15
= 10015
# Học tốt #
\(4^{15}\cdot5^{30}\)
\(=\left(2^2\right)^{15}\cdot5^{30}\)
\(=2^{30}\cdot5^{30}\)
\(=\left(2\cdot5\right)^{30}\)
\(=10^{30}\)
