Question

solve 81^(1/2) / 3^(-1)

Answer 1

am i correct????

Answer 2

or wrong .... lol

Answer 3

I can only understand the answer you marked there. And its wrong.

See, 81 = 9^2 , right?

Answer 4

yes

Answer 5

Fine, so, let us first solve the numerator :

\(\bf{81}^{\cfrac{1}{2}} = ? \)

Answer 6

We have 81 = 9^2

\(\left(9^2\right)^\cfrac{1}{2} = ? \)

Answer 7

=9 ??

Answer 8

Good work.

Answer 9

So, the numerator simplifies to 9.

Now, the denominator :

\(3^{-1} = ? \)

Answer 10

mmmhhh i actually dont know what would that be ?? i havent seen a negative exponent..

Answer 11

my best answer would be zero ????

Answer 12

No, it will not be zero.

See, \(a^{-b} = \cfrac{1}{a^b} \)

Answer 13

So,

\(3^{-1} = ? \)

Answer 14

81^(1/2) / 3^(-1) = 9/3^(-1) = 9 * 3 = 27 is the correct answer.

Answer 15

\[ \frac{ 1 }{ 3^1 }\]

Answer 16

=1/3

Answer 17

@dpasingh - Few suggestions for you ...

Please don't interrupt while someone is already helping. This may result into a warning or some action by the moderators.

Also, you should not give direct solutions or answers when a user is trying to learn something.

For more info., read OpenStudy code of conduct and Privacy policy.

Answer 18

@meln_n Yes, good work again.

So, you have :

\(\cfrac{9}{\cfrac{1}{3}}\)

Answer 19

Now, do you have any ideas to simplify this? @meln_n

Answer 20

mmmhhhh lol Fractions! -- i dont acutally ...

Answer 21

No problem.

See, that 3 will jump to the numerator (he is promoted :P )

Answer 22

yes

Answer 23

So, you get : 9 *3 = ?

Answer 24

ohhh ok soooo simply 1/3 turns to 3 ...

Answer 25

9 times 3 = 27 n_n

Answer 26

Yes, basically , it happens like this :

that 1/3 in denominator will be reversed (i.e. its reciprocal : 3/1)

the reciprocal will be multiplied to the numerator (3/1 * 9 )

Thus, it is 27.

For example : \(\cfrac{2}{\cfrac{3}{4}} \)

Denominator is 3/4

Take reciprocal of it : 4/3

Multiply this reciprocal with the numerator : \(\cfrac{4}{3} \times 2 = \cfrac{8}{3}\)

Answer 27

ohhhhhhh omgoshhhh thank you - i understand n_n !! this @mathslover i really appreciate your help and i though this problem was simply wow i learn alot

Answer 28

:-) Good to hear! Have a great time ahead with mathematics.

Answer 29

thanksss