Given the expression 12 over 12 to the third power. Part A: Explain how the Quotient of Powers was used to simplify the expressi
on. (6 points) Part B: Simplify the expression. (4 points)
1 answer:
We have the following fractional expression:
12
-------- is the same as
12^3
12^1
-------
12^3
We want to simplify this expression. To do so, we need the formula for exponents as follows:
x^a / x^b = x^(a-b).
In this particular problem we have
12^1 / 12^3, and know by this formula that the correct result is 12^(1-3), or 12^(-2), which is equivalent to 1 / 144.
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