Question

49^-1/2 • 64^2/3
Express answer in simplest form (show work plz)​

Answer 1

~Hello There!~

Anything to a negative power, turns it into 1 over that number.

Therefore
`49^{-(1)/(2) }  = (1)/(49(1)/(2) )`

Anything to the power of a half, means you have to square root it.

Therefore, the first part is now
`(1)/(7)`

When you have a fraction as a power and both numbers are above one:

You must 'root' it by the denominator and put it to the power of the top number.

Therefore,
`\sqrt[3]{64} = 4`

`4^(2)` = 16

Now we have:

`(1)/(7) * 16`

Simply divide 16 by 7 to get the answer:

2.285714

However, since it is a long number, you can just leave it as
`(16)/(7)`

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤