4x An expression is shown. Which of the following is equivalent to the expression shown? 4x A \( \frac{3^{7}}{4^{7}} \) (x C \( \frac{3^{10}}{4^{10}} \) C \( \frac{3^{7}}{4} \) D \( \frac{3}{4^{10}} \)
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Bonus Knowledge
The expression \( 4x \) can be rewritten to find an equivalent one. Since we know that exponents represent repeated multiplication, we can manipulate the provided options to see if any simplify to \( 4x \). For instance, let's analyze option A: \( \frac{3^{7}}{4^{7}} \). Breaking it down, it can be rewritten using the properties of exponents if we make some adjustments, but none of the options simplify elegantly to reveal an equivalent expression without doing more complex manipulations. A good practice is to plug in simple values for \( x \) and check which options yield the same result.
