## Spring98 one year ago Which of the following would be equivalent to 3^2 • 3^5? 3^10/3^3 3^10/3^7 3^1*3^7 3^0

1. Nnesha

when we divide same bases we should subtract their exponents $\huge\rm \frac{ x^m }{ x^n }=x^{m-n}$ and when we multiply same bases we should add ther exponents $\huge\rm x^m \times x^n=x^{m +n}$

2. Spring98

so would it be the third one?

3. Spring98

4. Nnesha

3rd one is $\huge\rm 3^1 \times 3^7$ ???

5. Spring98

i know but i need the answer that is eqivelent to 3^2*3^5!

6. Nnesha

i said when we multiply same bases we should add their exponents so 3^2 times 3^5= ???

7. Spring98

im not understanding it

8. Nnesha

here is an example $\huge\rm 2^\color{ReD}{5} \times 2^\color{blue}{4} = 2^{\color{red}{5} +\color{blue}{4}} =2^9$

9. Nnesha

so $\huge\rm 3^\color{ReD}{2} \times 3^\color{blue}{5} = 3^{???}$

10. Spring98

3^7

11. Nnesha

yes right! now look at the options which option is equal to 3^7

12. Spring98

the third option right?

13. Nnesha

here are some examples anything to the zero power is just equal to one $\huge\rm (x)^0= 1~~~~(anything)^0=1$ and like i said when we divide same bases we should subtract their exponents example is $\huge\rm \frac{ 2^5 }{ 2^3 }=2^{5-3}$

14. Nnesha

$3^1 \times 3^7=?$would you add those exponents or subtract ?

15. Spring98

subtract

16. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @Nnesha when we divide same bases we should subtract their exponents $\huge\rm \frac{ x^m }{ x^n }=x^{m-n}$ and when we multiply same bases we should add ther exponents $\huge\rm x^m \times x^n=x^{m +n}$ $$\color{blue}{\text{End of Quote}}$$ read this

17. Spring98

18. Nnesha

right so $\huge\rm 3^1 \times 3^7= 3^{1+7}$ is this equal to 3^7 ??

19. Spring98

3^8

20. Nnesha

so that's not equal to 3^7 that's why 3rs one isn't correct

21. Nnesha

3rd*

22. Nnesha

try other options

23. Spring98

o it would be the first one because you subtract it and it would equal 3^7 right?

24. Nnesha

:=) nice!!!

25. Spring98

thanks @Nnesha you helped me alot!!! :)

26. Nnesha

my pleasure :=)