Question

If (89)p = 818, what is the value of p?

2
9
10
18

Answer 1

what do you think ? try it first!

Answer 2

(8^9)^p = 8^18

Answer 3

ok

Answer 4

9!

Answer 5

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

Answer 6

cause u add the exponents

Answer 7

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

Answer 8

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

Answer 9

and 9+9 is 18!!

Answer 10

oh

Answer 11

no when would you add the exponents ?

Answer 12

sorry what?

Answer 13

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 \[\huge\rm \frac{ x^m }{ x^n }=x^{m-n}\] \[\huge\rm (x^m)^n=x^{m \times n}\]

Answer 14

its 2 then, right??

Answer 15

great!

Answer 16

yay!!!

Answer 17

thanks:DDDD

Answer 18

np :=)

Answer 19

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