Question

what value of p solves the eqatian?


p^-5=1/243

Answer 1

i need help big time

Answer 2

this is like 5th time ii'm looking at this (exact same ) question

Answer 3

familiar with the exponent rule ? \[\huge\rm x^{-m} =\frac{ 1 }{ x^m}\]

Answer 4

nope

Answer 5

its 3 right?

Answer 6

x^{-m} is same as \[\huge\rm \frac{ x^{-m} }{ 1 }= \frac{ 1 }{ x^m }\] flip the fraction to convert negative to positive exponent

Answer 7

so it is 3

Answer 8

how did you get that ? plz explain

Answer 9

3*3*3*3*3=243

Answer 10

alright nice
what about \[\huge\rm p^{-5}\]how would you get rid of the negative exponent ?

Answer 11

1/3

Answer 12

no just p^{-5}

Answer 13

remember flip the fraction and change the sign of exponent ?

Answer 14

wow thx

Answer 15

i feel dumb lol

Answer 16

well you're not

Answer 17

some of these math problems get fustrating

Answer 18

so the answer is 3 or 1/3?

Answer 19

well need to pay attention
i'll give u an example \[\huge\rm a^{-2} = \frac{ 1 }{a^2 }\]

Answer 20

so \[\rm p^{-5}= ?\]

Answer 21

i was making sure because on the thing its a box to type the answer in

Answer 22

p^-5=3

Answer 23

or you can substitute p for 1/3 and then for 3 to check ur answer
you should get equal sides at the end

Answer 24

how would you convert p^{-5} to positive exponent ?

Answer 25

flip the eqation

Answer 26

yes right how would you do that
p^{-5}/1 = ?

Answer 27

-5\p=1\3

Answer 28

//

Answer 29

s in the box it is 1/3? or 3 k12 is usally not settled about that

Answer 30

how did you get 1/3

Answer 31

3* 3*3*3*3 = 243 right agree ?

Answer 32

imso confussed again sorry

Answer 33

and also 1/3 goes into 1/243 5 times

Answer 34

when you multiply same bases we should add their exponents so \[\huge\rm 3^1 \times 3^1 \times 3^1 \times 3^1 \times 3^1 =3^{1+1+1+1+1}\]

Answer 35

yes

Answer 36

so \[\huge\rm p^{-5} = \frac{ 1 }{ 3^5 }\]
now move 3^5 at the numerator
flip the fraction when you do that sign of the `exponent` would change

Answer 37

or in other words what is the reciprocal of 1/3^5 ??

Answer 38

1/15?

Answer 39

it's \[\huge\rm \frac{ 1 }{ 3^5 }\] 3 to the 5th power
not 3 times 5

Answer 40

sorry that's what i should of wrote insted

Answer 41

okay so when you flip 1/3^5 what would you get ?

Answer 42

1/243

Answer 43

the answer is 3

Answer 44

well we changed 243 to 3^5
you should remember these exponents rule \[\huge\rm x^{-m} =\frac{ 1 }{ x^m } ~~and~~ \frac{ 1}{ 2^{-m} }= 2^m\]
you have to flip the fraction to change negative to postiive exponent

Answer 45

i've few mints have to go

Answer 46

well yes \[3^{-5} = \frac{ 1 }{ 3^5 }\]

Answer 47

which is equal to right side