Question

Вычислите 3^-4*9^-1 /
27^-2

Answer 1

3⁻⁴=1/81
9⁻¹=1/9
27⁻²=1/54

(1/81)·(1/9)/(1/729)=729/(81·9)=729/729=1


или

9⁻¹=3⁻²
3⁻⁴·3⁻²=3⁻⁶
27⁻²=(3³)⁻²=3⁻⁶

3⁻⁶/3⁻⁶=1

Answer 2

$\frac{ {3}^{ - 4} \times {9}^{ - 1} }{ {27}^{ - 2} } = \frac{{3}^{ - 4} \times {9}^{ - 1}}{{3}^{ - 2} \times {9}^{ - 2}} = {3}^{ - 4 - ( - 2)} \times {9}^{ - 1 - ( - 2)} = {3}^{ - 2} \times {9}^{1} = \frac{1}{9} \times 9 = 1$