Question

Viết các tích sau dưới dạng lũy thừa:

a, 2 . 2 . 2 . 3 . 3

b, 8 . 8 . 8 . 2

c, 8⁴ . 16⁵

d, 5⁴⁰ . 125² . 625³

e, 27⁴ . 81¹⁰

f, 10³ 100⁵ . 1000⁴

Answer 1

a)\(2.2.2.3.3=2^3.3^2\)

b)\(8.8.8.2=2^3.2^3.2^3.2=2^{10}\)

c)\(8^4.16^5=\left(2^3\right)^4.\left(2^4\right)^5=2^{12}.2^{20}=2^{32}\)

d)\(5^{40}.125^2.625^3=5^{40}.\left(5^3\right)^2.\left(5^4\right)^3=5^{40}.5^6.5^{12}=5^{58}\)

e)\(27^4.81^{10}=\left(3^3\right)^4.\left(3^4\right)^{10}=3^{12}.3^{40}=3^{52}\)

f)\(10^3.100^5.1000^4=10^3.\left(10^2\right)^5.\left(10^3\right)^4=10^3.10^{10}.10^{12}=10^{25}\)