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What is the simplified form of the expression below?

(22) * x2-3
A. 4^3
B. 2^3
C. 2
D. 4

1 Answer

3 votes

Final answer:

The simplification of the expression (2^2) * x^{2-3} involves squaring the number 2 and dealing with the negative exponent on x, which results in the simplified form 4/x. Due to possible typos in the original question, there is not enough context to match this simplified form to the provided options A, B, C, or D definitively.

Step-by-step explanation:

The original question asks to simplify the expression (2^2) * x^{2-3}. Simplifying the expression involves two concepts: Integer Powers and Cubing of Exponentials.

First, we simplify (2^2), which is 2 raised to the power of 2: 2^2 = 2 × 2 = 4. Next, we deal with x^{2-3}, which involves subtracting the exponents: x^{2-3} = x^{-1}. A negative exponent means that we take the reciprocal of the base, so x^{-1} = 1/x. Therefore, the expression becomes 4 × 1/x = 4/x, which is option C.

However, since the original question appears to have a typo or might be incomplete, we cannot provide a definitive single choice answer from the provided options (A, B, C, D) without more context. But the simplified form of the expression provided is 4/x.

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