Question

PLEASE HELP QUICKLY IF YOU CAN!

Answer 1

6 -
`((2)/(3) )^(2) =`
`(50)/(9)`

3² -
`((2)/(3) )=`
`8(1)/(3)`

7 -
`((1)/(2) )^(3)` =
`(55)/(8)`

Explanation:

1. 6 -
`((2)/(3) )^(2)`

First, apply the exponent to 2/3. Because it's to the second power, multiply 2/3 by itself.

`((2)/(3) )^(2)=(4)/(9)`

6 -
`(4)/(9)`

Now, subtract.

6 -
`(4)/(9)` =
`(50)/(9)`

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2. 3² -
`(2)/(3)`

First, apply the exponent.

3² = 9

9 -
`(2)/(3)`

Now, subtract.

9 -
`(2)/(3)=(25)/(3)`

`(25)/(3) =8(1)/(3)`

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3. 7 -
`((1)/(2) )^(3)`

First, apply the exponent.

`((1)/(2) )^(3)` =
`(1)/(8)`

7 -
`(1)/(8)`

Now, subtract.

7 -
`(1)/(8)=(55)/(8)`

hope this helps!