Question

10 to the negative fourth power

Answer 1

`10^(-4) = 0.0001`

Explanation:

Negative exponents make the base a reciprocal:

`x^(-1) = (1)/(x)\\x^2 = (1)/(x^2)\\`

Therefore, we can rewrite
`10^(-4)` as:

`10^(-4) = (1)/(10^4) = (1)/(10000) = 0.0001`

Answer 2

10^-4 = 0.0001

1 x 10^-4 = 10^-4

It's a negative power - so you divide the 1 by 10000 - to get 0.0001.

Same as 1/10000

Hope this helps!