Cubing a Fraction: 1/16 x 1/16 x 1/16 as a Fraction
When we multiply fractions, we need to follow the rules of multiplication. In this case, we are multiplying three identical fractions: 1/16 x 1/16 x 1/16. To simplify this expression, we can start by multiplying the numerators (the numbers on top) and the denominators (the numbers on the bottom) separately.
Multiplying the Numerators
The numerators are all 1, so multiplying them together gives us:
1 × 1 × 1 = 1
Multiplying the Denominators
The denominators are all 16, so multiplying them together gives us:
16 × 16 × 16 = 4096
Simplifying the Fraction
Now, we can write our result as a fraction:
1/4096
So, the result of multiplying 1/16 x 1/16 x 1/16 is the fraction 1/4096.
