bonjour
Simplifier l'écriture des nombres suivants :
a. 6^10×5^4 /10^-3×2^5
= (2 x 3)^10 x 5^4 / [(2 x 5)^(-3) x 2^5]
= 2^10 x 3^10 x 5^4 x 2^3 x 5^3 x 2^(-5)
= 2^(10+3-5) x 5^(4+3-5)
= 2^8 x 5^2
b. 12^7×15^4 /10^3×21^-4
= (2 x 2 x 3)^7 x (3 x 5)^4 x (2 x 5)^(-3) x (3 x 7)^4
= 2^7 x 2^7 x 3^7 x 3^4 x 5^4 x 2^(-3) x 5^(-3) x 3^4 x 7^4
= 2^(7+7-3) x 3^(7+4+4) x 5^(4-3) x 7^4
= 2^11 x 3^15 x 5^1 x 7^4
