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What is the simplified form of
4⁰ 5² 6¹ 100⁰ 1
— ?


User Bricker
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4 votes

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.

User Ozzi
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