## wach Group Title How does 3^x + 3^x + 3^x = 3^x+1 ? 2 years ago 2 years ago

1. asnaseer Group Title

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

2. asnaseer Group Title

can you see how?

3. wach Group Title

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

4. asnaseer Group Title

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

5. asnaseer Group Title

e.g. a + a + a = ?

6. wach Group Title

3(3^x), right?

7. asnaseer Group Title

correct

8. asnaseer Group Title

now apply the rule

9. waleed_imtiaz Group Title

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 Group Title

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 Group Title

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

12. asnaseer Group Title

and 4 = 3 + 1

13. asnaseer Group Title

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

14. wach Group Title

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

15. asnaseer Group Title

yw :)