Question

Запишите в виде степени с основанием b выражения 1) (b2) 3;2) (b3)2;3) (b4)3;4)(b2)41) (b5)2 • b3;2) b• (b3)4;3) b8 • (b10)34) b6 • (b4)85) (b7)5 • b;6) (b11)4 • b10,7) (b5)10 : b31; 8) b43 : (b9)4; 9) (b6)12 • b59,10) b100 : (b5)4; 11) (b17)5 • b81; 12) b79 • (b13)6.​

Answer 1

1) (b²)³ =b⁶

2) (b³) =b⁶

3) (b⁴)³ = b¹²

4) (b²)⁴ = b⁸

1) (b⁵)² • b³ = b¹⁰⁺³ = b¹³

2) b• (b³)⁴ = b¹⁺¹² = b ¹³

3) $b^8*(b^{10} )^3= b^{8+30}=b^{38}$

4) $b^6*(b^4)^8=b^{6+32}=b^{38}$

5) $(b^7)^5*b=b^{7*5+1}=b^{36}$

6) $(b^{11} )^4 * b^{10}=b^{44+10}=b^{54}$

7) $(b^5)^{10} : b^{31}=b^{50-31}=b^{19}$

8) $b^{43} : (b^9)^4=b^{43-36}=b^7$

9) $(b^6)^{12}* b^{59}=b^{72+59}=b^{131}$

10) $b^{100} : (b^5)^4=b^{100-20}=b^{80}$

11) $(b^{17})^5*b^{81}=b^{85+81}=b^{166}$

12) $b^{79}* (b^{13})^6=b^{79+78}=b^{157}$

Answer 2

1. (b^2)^3 = b^(2*3) = b^6
2. (b^3)^2 = b^(3*2) = b^6
3. (b^4)^3 = b^(4*3) = b^12
4. (b^2)^4 = b^(2*4) = b^8
5. (b^5)^2 * b^3 = b^(5*2) * b^3 = b^10 * b^3 = b^(10+3) = b^13
6. b * (b^3)^4 = b * b^(3*4) = b * b^12 = b^(1+12) = b^13
7. b^8 * (b^10)^3 = b^8 * b^(10*3) = b^8 * b^30 = b^(8+30) = b^38
8. b^43 / (b^9)^4 = b^43 / b^(9*4) = b^43 / b^36 = b^(43-36) = b^7
9. (b^6)^12 * b^59 = b^(6*12) * b^59 = b^72 * b^59 = b^(72+59) = b^131
10. b^100 / (b^5)^4 = b^100 / b^(5*4) = b^100 / b^20 = b^(100-20) = b^80
11. (b^17)^5 * b^81 = b^(17*5) * b^81 = b^85 * b^81 = b^(85+81) = b^166
12. b^79 * (b^13)^6 = b^79 * b^(13*6) = b^79 * b^78 = b^(79+78) = b^157