Question

√((125²)^-⅓)
solve without using calculator

Answer 1

note that 125 = 5^3
also note that sqrt(x) is the same as x^1/2

now use properties of exponents to simplify

Answer 2

\[\sqrt{(125^2)^{-1/3}}=((125^2)^{-1/3})^{1/2}=125^{(2\times-\tfrac13\times\tfrac12)}\]

Answer 3

To be polite both solutions are wrong

Answer 4

i promise to follow the person that can get this answer right

Answer 5

\[\sqrt{(125^2)^{-1/3}}=((125^2)^{-1/3})^{1/2}=125^{(2\times-\tfrac13\times\tfrac12)}=125^{-1/3}=(5^3)^{-1/3}=...\]

Answer 6

what is the answer

Answer 7

\[(5^3)^{-1/3}=5^{3\times-1/3}=...\]

Answer 8

its wrong

Answer 9

who needs a clue

Answer 10

@daniel56K

I don't need a clue - I have worked out ht eanswer correctly

I have given oyu the correct way to do it

hanve YOU worked it out?

Answer 11

125^2 = 5^3^2 = 5^6

5^6 ^-1/3 = 5 ^-2

5^-2 ^ 1/2 = 5^-1

= 1/5 = 0.2

Answer 12

1/5

Answer 13

That is correct

Answer 14

@Daniel56k

if oyu look at @UnkleRhaukus answer you will see that he already did that

his answer is the SAME as 1/5 (as is mine)

Answer 15

yea

Answer 16

oh yes

Answer 17

But i said i need answers not solution

Answer 18

is -0.2 also valid?

Answer 19

no it is a positive

Answer 20

Am closing this now u all should be waiting for another question

Answer 21

thanks for playing

Answer 22

No. thank u for participating