a) a⁻³*∛(a⁶b²)/∛b=a⁻³*∛(a⁶b²/b)=a⁻³*∛(a⁶b)=a⁻³*a²*∛b=a⁻¹*∛b=∛b/a.
б)
1. (1/(a^(√2-1))^(√2+1)=(a^(1-√2))^(1+√2)=a^(1²-(√2)²)=a^(1-2)=a^(-1),
a^(-1)*a(√2+1)=a^(-1+√2+1)=a^(√2).
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a) a⁻³*∛(a⁶b²)/∛b=a⁻³*∛(a⁶b²/b)=a⁻³*∛(a⁶b)=a⁻³*a²*∛b=a⁻¹*∛b=∛b/a.
б)
1. (1/(a^(√2-1))^(√2+1)=(a^(1-√2))^(1+√2)=a^(1²-(√2)²)=a^(1-2)=a^(-1),
a^(-1)*a(√2+1)=a^(-1+√2+1)=a^(√2).