b) $$ \frac{7^{x}+7^{x+2}}{7^{x+1}+7^{x}} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
\frac{7^{x} + 7^{x+2}}{7^{x+1} + 7^{x}}
$$

**Step 1: Factor Out Common Terms**

- **Numerator:**
  $$
  7^{x} + 7^{x+2} = 7^{x} \left(1 + 7^{2}\right) = 7^{x} \times 50
  $$
  
- **Denominator:**
  $$
  7^{x+1} + 7^{x} = 7^{x} \left(7 + 1\right) = 7^{x} \times 8
  $$

**Step 2: Simplify the Fraction**

$$
\frac{7^{x} \times 50}{7^{x} \times 8} = \frac{50}{8} = \frac{25}{4}
$$

**Final Answer:**
$$
\frac{25}{4}
$$
The simplified form of the expression is $$ \frac{25}{4} $$.

b)

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Algebra Questions