How to write 125 as a power? How to write -125 as a power? How to write 8/125 as a power? How to write 0.125 as a power with a negative exponent? How to write 125 as a power of 5? How to write 125 as a power of 25? How to write 1/25 as a power of 5? How to write the number 1 over 125 as a power of 5?

See the following examples.

Problem: Write 125 as a power of 5

Solution:

125 = 5 * 25 =

5 * 5 * 5 =

5^{3}

5 * 5 * 5 =

5

Problem: Write -125 as a power of 5

Solution:

-125 = -1 * 125 =

-1 * 5^{3} = -5^{3}

-1 * 5

Problem: Write 1/25 as a power of 5

Solution:

1/25 =

1/(5 * 5)=

1/5^{2}

1/(5 * 5)=

1/5

Problem: Write 1/125 as a power

Solution:

1/125 =

1/(5 * 5 * 5)=

1/5^{3}

1/(5 * 5 * 5)=

1/5

Problem: Write 8/125 as a power

Solution:

8/125 =

2^{3}/5^{3} =

(2/5)^{3}

2

(2/5)

Problem: Write 0.125 as a power with a negative exponent

Solution:

0.125 =

125 ÷ 1000 =

5^{3} ÷ 10^{3} =

5^{3} * 10^{-3} =

5^{3} * (2 * 5)^{-3} =

5^{3} * 2^{-3} * 5^{-3} =

5^{3 + (-3)} * 2^{-3}
=

1 * 2^{-3} = 2^{-3}

125 ÷ 1000 =

5

5

5

5

5

1 * 2