0.1 to the Power of 4 as a Fraction
When we raise 0.1 to the power of 4, we are essentially multiplying 0.1 by itself four times. To calculate this, we can start by converting 0.1 to a fraction, which is:
0.1 = 1/10
Now, let's raise 1/10 to the power of 4:
(1/10)^4 = (1/10) × (1/10) × (1/10) × (1/10)
To multiply these fractions, we can multiply the numerators (1 × 1 × 1 × 1 = 1) and multiply the denominators (10 × 10 × 10 × 10 = 10,000). This gives us:
(1/10)^4 = 1/10,000
So, 0.1 to the power of 4 as a fraction is 1/10,000.
Alternatively, we can also calculate this using decimal multiplication:
0.1 × 0.1 × 0.1 × 0.1 = 0.0001
Converting this decimal back to a fraction, we get:
0.0001 = 1/10,000
Either way, we arrive at the same answer: 0.1 to the power of 4 as a fraction is 1/10,000.
