Question

a) 8\(^4\)\(\times\)16\(^5\)\(\times\)32

b) 27\(^4\)\(\times\)81\(^{10}\)

c) 625\(^5\)\(\div\)25\(^7\)

Giúp mình nha!

Answer 1

\(a,8^4\times16^5\times32=\left(2^3\right)^4\times\left(2^4\right)^5\times2^5=2^{3\times4}\times2^{4\times5}\times2^5=2^{12}\times2^{20}\times2^5=2^{12+20+5}=2^{37}\)
\(b,27^4\times81^{10}=\left(3^3\right)^4\times\left(3^4\right)^{10}=3^{3\times4}\times3^{4\times10}=3^{12}\times3^{40}=3^{12+40}=3^{52}\)
\(c,625^5\div25^7=\left(5^4\right)^5\div\left(5^2\right)^7=5^{20}\div5^{14}=5^{20-14}=5^6\)