Question

.203-206, помогите пожалуйста, с решением.

Answer 1

10^16*100^(-6)=10^16*10^(-12)=10^4=10000
(10^(-10)*100^6)^(-1)=(10^(-10)*10^12)^(-1)=(10^2)^(-1)=1/100=0.01
6^(-4)/(2^(-6)*3^(-4))=(2^6*3^4)/(2^4*3^4)=2^2=4
(3*(-2)*5^(-3))/15^(-3)=(5^3*3^3)/3^2*5^3)=3

Answer 2

203.
(10⁸)² * 100⁻⁶ = 10¹⁶ *(10²)⁻⁶ = 10¹⁶ * 10⁻¹² = 10⁴=10000

204.
(10⁻¹⁰ * 100⁶)⁻¹ = (10⁻¹⁰ * (10²)⁶)⁻¹ = (10⁻¹⁰ * 10¹²)⁻¹ = (10²)⁻¹ = 100⁻¹ = 1/100=0,01

205.
     6⁻⁴      =  (2*3)⁻⁴  = 2⁻⁴ * 3⁻⁴ = 2⁻⁴⁻(⁻⁶) =2⁻⁴⁺⁶ =2²=4
2⁻⁶ * 3⁻⁴      2⁻⁶ * 3⁻⁴    2⁻⁶ * 3⁻⁴

207.
 3⁻² * 5⁻³ = 3⁻² * 5⁻³ = 3⁻² * 5⁻³ = 3⁻²⁻(⁻³) = 3⁻²⁺³ = 3
    15⁻³         (3*5)⁻³    3⁻³ * 5⁻³