Answer:
10
Explanation:
The easiest way to do this is to convert every number into a whole number.
0.0001 = 1 x 10^-4 ------> move the decimal point to the right 4 = 10^-4
0.25 = 25 x 10^-2 -----> move the decimal point to the right 2 = 10^-2
10^4 = 1 x 10^4 -----> multipling by 1 is the same
40 = 4 x 10^1 -----> move the decimal point to the left 1 = 10^1
Now, you can multiply the numbers together:
1 x 25 x 1 x 4 = 100
Now, multiply the powers of 10 together:
10^-4 x 10^-2 x 10^4 x 10^1
A trick to do this is to add the powers together.
If any equation follows the form:
y^a * y^b * y^c * ...
where y is a number, a is the first power, b is the second power, and so on, it is always equal to:
y^(a + b + c + ...)
You can apply this to this question.
10^(-4 + (-2) + 4 + 1)
= 10^-1
Now, you can multiply the 2 answers you got together again:
100 x 10^-1
= 10^2 x 10^-1
You can apply the formula again.
10^(2 - 1)
= 10^1 = 10
:)