How to write 1/16 as a power of 2? How to write 16/625 as a power? How to write 625 as a power?

See the following examples.

Problem: Write 1/16 as a power of -4

Solution:

1/16 = 1/(4 * 4) =

1/4^{2} =

1/(2 * 2)^{2} =

1/(2^{2})^{2} =

1/2^{2 * 2} =

1/2^{4} = 2^{-4}

1/4

1/(2 * 2)

1/(2

1/2

1/2

Problem: Write 625 as a power of 4

Solution:

625 = 25 * 25 =

25^{2} =

(5 * 5)^{2} =

(5^{2})^{2} =

5^{2 * 2} = 5^{4}

25

(5 * 5)

(5

5

Problem: Write 16/625 as a power

Solution:

16/625 = 2^{4}/5^{4} =

(2/5)^{4}

(2/5)