Question

Proszę o obliczenie :

(₋ ⅙)² * (2⅓)⁻²
(1¹/₉)⁻₁ : (1⅔)⁻²

Proszę o zapis w postaci jednej potęgi :

3⁷ * 3⁴ =
(⅔)⁵ * (⅔)⁵ =
6¹⁵ : 6³ =
(-1,2)¹⁴ : (-1,2)¹⁰ =
7¹³ * 7⁻⁴ =
5⁻⁸ * 5⁻⁷ =
4⁶ : 4⁻⁵ =
9⁻³ : 9⁻²³ =
(5³)² =
(6⁻⁷)³ =

Answer 1

1. (₋ ⅙)² * (2⅓)⁻²= 1/36  * (7/3)⁻²= 1/36 * (3/7)²=

= 1/36 * 36/49= 1/49

 

2. (1¹/₉)⁻₁ : (1⅔)⁻² = 9/10 / (3/5)²= 9/10 / 9/25 =

= 9/10 * 25/9 = 2½

 

3. 3⁷ * 3⁴ = 3¹¹

4. (⅔)⁵ * (⅔)⁵ = (⅔)¹⁰

5. 6¹⁵ : 6³ = 6¹²

6. (-1,2)¹⁴ : (-1,2)¹⁰ =  (-1,2)⁴

7. 7¹³ * 7⁻⁴ = 7 ⁹

8. 5⁻⁸ * 5⁻⁷ = 5 ⁻¹⁵

9. 4⁶ : 4⁻⁵ =4¹¹

10. 9⁻³ : 9⁻²³ =9²⁰

11. (5³)² = 5⁶

12. (6⁻⁷)³ = 7 ⁻²¹