Question

plz help for medal @Michele_Laino

Answer 1

If I call with N the missing exponent, we can write this:
\[\Large {\left( {{2^{ - 5}}} \right)^N} = {2^{ - 15}}\]
and subsequently I apply the rule of power of power, so I get this condition:
\[\Large - 5 \cdot N = - 15\]
what is N?

Answer 2

-3?

Answer 3

I think no, since:
-5 * -3= +15

Answer 4

-5 * 3 = -15

Answer 5

correct! it is N=3

Answer 6

thanks man u rock i will talk to u tomorrow i am going t hop off my computer

Answer 7

ok! :)

Answer 8

wait i have one more question sorry

Answer 9

ok! I'm ready!

Answer 10

We can rewrite your expression as below:
\[\Large \frac{{{7^{ - 3}} \cdot {7^9}}}{{{7^{ - 8}}}} = {7^{ - 3}} \cdot {7^9} \cdot {7^8}\]
Now I apply the rule of multiplication of power with the same basis, so I get:
\[\Large \frac{{{7^{ - 3}} \cdot {7^9}}}{{{7^{ - 8}}}} = {7^{ - 3}} \cdot {7^9} \cdot {7^8} = {7^{ - 3 + 9 + 8}} = ...?\]

Answer 11

363?

Answer 12

sorry my computer froze

Answer 13

what is -3+9+8=...?

Answer 14

14

Answer 15

correct! so what is the right option?

Answer 16

D?

Answer 17

option D is not \[\Large {7^{14}}\]

Answer 18

you have to search for \[\Large {7^{14}}\]

Answer 19

positive 14 or negative 14

Answer 20

-3+9+8= +14 so?

Answer 21

a

Answer 22

yes!

Answer 23

u rock

Answer 24

thanks! :)