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Популярное Word Problems >

27^{4/3} :Enter an точный number.

Решение

упростить

2 7^{\frac{4}{3}}

Решение

81

Шаги решения

2 7^{\frac{4}{3}}

Разложите число:

27 = 3^{3}

= (3^{3})^{\frac{4}{3}}

Примените правило возведения в степень:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{3 \cdot \frac{4}{3}}

3 \cdot \frac{4}{3} = 4

= 3^{4}

3^{4} = 81

= 81

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