## anonymous one year ago If (89)p = 818, what is the value of p? 2 9 10 18

1. Nnesha

what do you think ? try it first!

2. anonymous

(8^9)^p = 8^18

3. anonymous

ok

4. anonymous

9!

5. freckles

$8^{9^p}=8^{18} \text{ or } (8^9)^p=8^{18}$

6. anonymous

7. Nnesha

yes right \ remember the exponent rule $\huge\rm (x^m)^n=x^{m \times n}$

8. Michele_Laino

using the rule of power of power, we can rewrite your equation like this: $\Large {\left( {{8^9}} \right)^p} = {8^{9p}} = {8^{18}}$

9. anonymous

and 9+9 is 18!!

10. anonymous

oh

11. Nnesha

no when would you add the exponents ?

12. anonymous

sorry what?

13. Nnesha

when you multiply same bases you should add their exponents $\huge\rm x^m \times x^n=x^{m + n}$ when you divide same bases yo should subtract their exponents $\huge\rm \frac{ x^m }{ x^n }=x^{m-n}$ $\huge\rm (x^m)^n=x^{m \times n}$

14. anonymous

its 2 then, right??

15. Nnesha

great!

16. anonymous

yay!!!

17. anonymous

thanks:DDDD

18. Nnesha

np :=)

19. Michele_Laino

so you have to solve this equation: $\Large 9p = 18$