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 $$ \frac{3}{4^{10}} $$

Question

UpStudy AI · Accepted Answer

To determine which of the given options is equivalent to the expression $$ 4x $$, we need to analyze each option and see if it can be simplified or manipulated to match $$ 4x $$.

1. **Given Expression**: $$ 4x $$

2. **Options**:
   - A: $$ \frac{3^{7}}{4^{7}} $$
   - B: $$ \frac{3^{10}}{4^{10}} $$
   - C: $$ \frac{3^{7}}{4} $$
   - D: $$ \frac{3}{4^{10}} $$

Now, let's analyze each option:

### Option A: $$ \frac{3^{7}}{4^{7}} $$
This can be rewritten as:
$$
\frac{3^{7}}{4^{7}} = \frac{3^{7}}{(4^{1})^{7}} = \frac{3^{7}}{4^{7}} \text{ (not equivalent to } 4x\text{)}
$$

### Option B: $$ \frac{3^{10}}{4^{10}} $$
This can be rewritten as:
$$
\frac{3^{10}}{4^{10}} = \frac{3^{10}}{(4^{1})^{10}} = \frac{3^{10}}{4^{10}} \text{ (not equivalent to } 4x\text{)}
$$

### Option C: $$ \frac{3^{7}}{4} $$
This can be rewritten as:
$$
\frac{3^{7}}{4} = 3^{7} \cdot 4^{-1} \text{ (not equivalent to } 4x\text{)}
$$

### Option D: $$ \frac{3}{4^{10}} $$
This can be rewritten as:
$$
\frac{3}{4^{10}} = 3 \cdot 4^{-10} \text{ (not equivalent to } 4x\text{)}
$$

None of the options seem to directly match $$ 4x $$. However, let's check if any of the options can be manipulated to find a common factor or form.

### Conclusion
None of the options provided are equivalent to $$ 4x $$. If you have any additional context or if there is a specific manipulation you would like to explore, please let me know!
None of the options are equivalent to $$ 4x $$.

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 \( \frac{3}{4^{10}} \)

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Algebra Questions