## wach 3 years ago How does 3^x + 3^x + 3^x = 3^x+1 ?

1. asnaseer

it is making use of the rule:$a\times a^n=a^{n+1}$

2. asnaseer

can you see how?

3. wach

Not really. Could you put the equation into that rule? I think I'l be able to understand, then.

4. asnaseer

ok, first of all how can you simplify the left hand side of your expression?

5. asnaseer

e.g. a + a + a = ?

6. wach

3(3^x), right?

7. asnaseer

correct

8. asnaseer

now apply the rule

9. waleed_imtiaz

Lets see this question like this.... :) let 3^x=y..... the above equation is....... 3^x + 3^x + 3^x = 3^x *3 y+y+y=y(3) 3y=3y...... It is an identity...... :DA

10. wach

a(a^n) = a^n+1 3(3^x) = 3^x+1 Aa. If I may ask, how does the rule work/make sense?

11. asnaseer

e.g.:$a\times a^3=a\times(a\times a\times a)=a\times a\times a\times a=a^4$

12. asnaseer

and 4 = 3 + 1

13. asnaseer

the general rule here is:$a^m\times a^n=a^{m+n}$

14. wach

Ohhhh. That makes complete sense when worked out. Thank you so much for helping me with this concept, asnaseer!

15. asnaseer

yw :)