Final answer:
The simplified form of the expression 4⁰ 5² 6¹ 100⁰ / 2² is 37.5 after applying rules for integer powers and evaluating each term individually.
Step-by-step explanation:
The simplified form of the expression 4⁰ 5² 6¹ 100⁰ / 2² can be calculated step by step by applying the rules of integer powers and properties of exponents.
To simplify the given expression, we first evaluate each term:
Any number raised to the power of zero is 1, so 4⁰ and 100⁰ both become 1.
5² means 5 multiplied by itself, which is 25.
6¹ is simply 6, as any number raised to the power of one is the number itself.
The denominator 2² equals 4.
Now, multiplying the numerators we get: 1 * 25 * 6 * 1 = 150. Dividing this by the denominator 4 gives us the simplified result, which is 37.5.
Therefore, the simplified form of the given expression is 37.5.