Question

Calculeaza: 81^7:3^52
4^12:2^22-8^9:2^26
(25^2x5^4):5^22-2^22
Am nevoie repede va rog dau coroana!
Semnul ^ inseamna puterea

Answer 1

81^7:3^52 =
= (3^4)^7 : 3^52 =
= 3^28 : 3^52 =
= 3^-24 =
= 1/3^24

4^12:2^22-8^9:2^26 =
= (2^2)^12 : 2^22 - (2^3)^9 : 2^26 =
= 2^24 : 2^22 - 2^27 : 2^26 =
= 2^2 - 2^1 =
= 4 - 2 =
= 2

(25^2x5^4):5^22-2^22 =
= [(5^2)^2 × 5^4] : 5^22 - 2^22 =
= (5^4 × 5^4) : 5^22 - 2^22 =
= 5^8 : 5^22 - 2^22 =
= 5^-14 - 2^22 =
= 1/5^14 - 2^22

Answer 2

81⁷:3⁵²= 
= 3⁴⁾⁷:3⁵² 
= 3²⁸:3⁵² 
= 3⁻²⁴

4¹²:2²²-8⁹:2²⁶= 
= 2²⁾¹²:2²²-2³⁾⁹:2²⁶
= 2²⁴:2²²-2²⁷:2²⁶
= 2²- 2
= 4-2
= 2

(25²x5⁴):5²²-2²² =
= [(5²⁾²×5⁴]:5²²-2²²
= (5⁴×5⁴):5²²-2²²
= 5⁸:5²²-2²²
= 5⁻¹⁴-2²²