1. freemap

2. freemap

Simplyfly

3. Nnesha

here is an example $\huge\rm (ab)^m= a^m b^m$ so (2y)^3 = ?

4. freemap

sorry, was offline

5. freemap

6. freemap

So wouldn't be A?

7. Nnesha

how?

8. Nnesha

(2y)^3 how would you simplify this ?

9. freemap

2 x 2 x 2=8

10. Nnesha

yes right 2 to the 3rd power and y to the 3rd power then multiply the same base when we multiply same bases we should add their exponents$\huge\rm x^m \times x^n=x^{m+n}$

11. Nnesha

let me know what you get

12. freemap

2^3 x y^3= 2y^8+3=11??

13. Nnesha

y^8 ??

14. Nnesha

$\huge\rm (2y)^3 \times y^{-1}= 2^3y^3 \times y^{-1}$

15. Nnesha

now multiply y^3 times y^{-1}

16. freemap

-1

17. freemap

-1 x -1 x -1

18. Nnesha

no apply the exponent rule when multiply same base we should add exponnets

19. freemap

? I'm sorry 8 x -1=7x x -1

20. Nnesha

no just at the exponnets $\huge\rm 2^3\color{ReD}{y}^\color{blue}{3} \times \color{ReD}{y}^\color{blue}{-1}$ the base y is same so you can add their exponents

21. freemap

-9

22. Nnesha

how did you get 9 ?

23. freemap

3 x 3 x -1=-9 just the exponets

24. Nnesha

well first of all bases should be the SAME 2nd you should ADD them not multiply

25. Nnesha

2 and y are not the same bases

26. Nnesha

|dw:1441634613787:dw|

27. Michele_Laino

hint: $\Large {\left( {2y} \right)^3}{y^{ - 1}} = {2^3}{y^3}{y^{ - 1}} = ...?$

28. Nnesha

here is an example $\huge\rm a^3 \times a^6= a^{3+6}=a^9$