Question

Calculati:

Answer 1

Answer:

7

Step-by-step explanation:

[(1/3 – 1/9)² + (1/3)³] : (1/3)⁴

Next, we shall simplify (1/3 – 1/9)². This is illustrated below:

(1/3 – 1/9)² = ((3 – 1)/9)² = (2/9)²

[(1/3 – 1/9)² + (1/3)³] : (1/3)⁴

= [(2/9)² + (1/3)³] : (1/3)⁴

= [4/81 + 1/27] : 1/81

= [(4 + 3)/81 ] : 1/81

= 7/81 : 1/81

= 7/81 ÷ 1/81

Invert

= 7/81 × 81/1

= 7