Simplify: $$ w \cdot w^{7} \cdot w^{-9} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression $$ w \cdot w^{7} \cdot w^{-9} $$, you can use the **laws of exponents**, specifically the **product of powers** rule. Here's how it works step-by-step:

1. **Combine the exponents:** When you multiply terms with the same base, you add their exponents.

$$
   w \cdot w^{7} \cdot w^{-9} = w^{1} \cdot w^{7} \cdot w^{-9}
   $$

2. **Add the exponents:**

$$
   w^{1 + 7 - 9} = w^{-1}
   $$

3. **Simplify the negative exponent:** A negative exponent indicates the reciprocal of the base raised to the positive exponent.

$$
   w^{-1} = \frac{1}{w}
   $$

**Final Answer:**
$$
\frac{1}{w}
$$
$$ \frac{1}{w} $$

Simplify: \( w \cdot w^{7} \cdot w^{-9} \)

Real Tutor Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Algebra Questions