3.

а)(-5xy^3)^2×(2xy^5z)^2=25x^2y^6×4x^2y^10z^2=100x^4y^16z^2

б)10000×(-(0,1a^4b^5)^3)^2=10^4×10^-6a^24b^30=10^-2a^24b^30=1/10^2×a^24b^30=1/100a^24b^30

в)((-1/3a^3y)^2×3ab)^3=(1/9a^6y^2×3ab)^3=1/27a^21b^3y^6

4.

a)(7^5)^3/7^13×49=7^15/7^13×7^2=1

б)50^3/(2^2)^3×5^6=5^6×2^3/2^6×5^6=1/2^3=1/8

в)3^48-3^47+17×3^46/23×27^15=(3^2-3+17)×3^46/23×3^45=(9-3+17)3^46/23×3^45=23×3^46/23×3^45=3

5.

x^11×x^9×(x^3)^4/x^27×x^4=11

x^32/x^31=11

x=11.