Question

Viết các tích sau dưới dạng lũy thừa :

a) \(3^5.5^7.45\)

b) \(2^8.4^5.9^9\)

c) \(\left(2^3.3^5.5^7\right)^{10}.12^{20}\)

d) \(\left(x^2.y\right)^5.\left(x^2.y^2\right)^7.\left(x.y^2\right)^6.x^3\)

e) \(18^{20}.45^5.5^{25}.8^{10}\)

f) \(2^7.3^8.4^9.9^8\)

CÁC BN GIÚP MK VS !

Answer 1

a)\(3^5.5^7.45=3^5.5^7.3^2.5=3^7.5^8\)

b)\(2^8.4^5.9^9\)\(=2^8.2^{10}.9^9=2^{18}.9^9\)

c)\(\left(2^3.3^5.5^7\right)^{10}.12^{20}=2^{13}.3^{15}.5^{17}.12^{20}\)\(=2^{13}.3^{15}.5^{17}.2^{40}.3^{20}=2^{53}.3^{35}.5^{17}\)

d)\(\left(x^2y\right)^5.\left(x^2y^2\right)^7.\left(x.y^2\right)^6.x^3=x^{10}.y^5.x^{14}.y^{14}.x^6.y^{12}.x^3\)

\(=x^{33}.y^{31}\)

e)\(18^{20}.45^5.5^{25}.8^{10}=2^{20}.3^{40}.5^5.3^{10}.5^5.5^{25}.2^{30}\)

\(=2^{50}.3^{50}.5^{35}=6^{50}.5^{35}\)

f)\(2^7.3^8.4^9.9^8=2^7.3^8.2^{18}.3^{16}=2^{25}.3^{24}\)