Question

Rewrite each of the following numbers as a square or a cube of some other number.

6.25

−3 3/8

5 4/9

Answer 1

We have been given three numbers 6.25, −3 3/8 and 5 4/9.

Now we need to convert them into a square or a cube of some other number.

Answer 1):

6.25

Multiply and divide by 100 to convert into fraction

`(625)/(100)`

convert into exponent form

`=(25^2)/(10^2)`

`=\left((25)/(10)\right)^2`

`=\left(2.5\right)^2`

Hence final answer is
`\left(2.5\right)^2`

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Answer 2):

`-3\ (3)/(8)`

`=-(3\cdot8+3)/(8)`

`=-(24+3)/(8)`

`=-(27)/(8)`

`=-(3^3)/(2^3)`

`=-\left((3)/(2)\right)^3`

Hence final answer is
`-\left((3)/(2)\right)^3`

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Answer 3):

`5\ (4)/(9)`

`=(5\cdot9+4)/(9)`

`=(45+4)/(9)`

`=(49)/(9)`

`=(7^2)/(3^2)`

`=\left((7)/(3)\right)^2`

Hence final answer is
`\left((7)/(3)\right)^2`