Ibelievethat the question you mean to ask is "How do you multiply powers withdifferentbases?" As an exponent is the number raised to denote repeated multiplication of a base, and a power is a short for of writing repeated multiplication of a number by itself.
In order to do this we should use an example such as this:
(8^4+2a)(16^a-1)
In order to solve this, we would need to find the solution to (8^4+2a)(16^a-1)
Whenever multiplying two powers and the bases are different, we always want to make the bases the same. We cannot do anything to this equation until the bases are the same, so the equation becomes
(8^4+2a)(16^a-1)-------> (2^3)^4+2a · (2^4)^a-1
Next we multiply the exponent inside with the exponents outside of each pair of brackets and we get 2^12+6a · 2^-4+4a
We have now made the bases the same! And our solution is 2^8+10a
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Exactly that ... negative exponents. For example: 1000 = 103 That is a positive exponent. .001 = 10-3 That is a negative exponent. For positive exponents, you move the decimal place that many positions to the right, adding zeros as needed. For negative exponents, you move the decimal place that many positions to the LEFT, adding zeros as needed. And, the special case is this: 100 = 1.
They are experimentally determined exponents.
To determine the total number of different types of homes available, you would multiply the number of choices for each category. In this case, you would multiply the 6 basic plans by the 3 roof styles and then by the 2 exterior finishes. Therefore, there would be a total of 6 x 3 x 2 = 36 different types of homes available.