Question

Запишите в виде степени с основанием b выражения 1) (b2) 3;
2) (b3)2;
3) (b4)3;
4)(b2)4

1) (b5)2 • b3;
2) b• (b3)4;
3) b8 • (b10)3
4) b6 • (b4)8
5) (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) $b^{79}* (b^{13})^6=b^{79+78}=b^{157}$