Question

How do you write `10^-4` as both a decimal and a fraction?

Answer 1

See explanation.

Explanation:

To write the number as a fraction we can use the following identity:

`a^-b=1/a^b`

`10^-4=1/10^4=1/10000`

To change the fraction whose denominator is a power of `10` to a decimal you can write the numerator and then move the decimal point as many places to the left as the number of zeros is which appear in the fraction's denominator.

`1/10000=0.0001`