Write this description as an *algebraic expression*: “The square of the product of *x*, one half *x* and 7.”

Flashcard 4 - Subtest II: Mathematics Flashcard Set for the CSET Multiple Subjects Test

\[\frac{49x^{4}}{4}\]

Product means multiply so that gives you:

\[x\cdot\frac{1}{2}x\cdot7\]

Simplify and get \(\frac{7x^{2}}{2}\)

Now square that by writing this: \((\frac{7x^{2}}{2})^{2}\)

And simplifying, get \(\frac{49x^{4}}{4}\)

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