Помогите с алгеброй пж- Стратегия успеха

${27}^{ frac{1}{3} }$
${81}^{ frac{3}{4} }$
${9}^ -{1.5}$

Алгебра

Answers (1)

${27}^{ frac{1}{3} } = sqrt[3]{27} = sqrt[3]{ { 3}^{3} } = 3$

${81}^{ frac{3}{4} } = sqrt[4]{ {81}^{ 3} } = sqrt[4]{ {3}^{3} imes {3}^{3} imes {3}^{3} imes {3}^{3} } = sqrt[4]{27 imes 27 imes 27 imes 27 } = sqrt[4]{ {27}^{4} } = 27$

${9}^{ - 1.5} = {9}^{ - frac{3}{2} } = sqrt[2]{ {9}^{ - 3} } = sqrt{ frac{1}{ {9}^{3} } } = sqrt{ frac{1}{729 } } = sqrt{ { (frac{1}{27}) }^{2} } = frac{1}{27}$