Simplify and express answers using positive exponents only. Variables are restricted to avoid division by 0

(Use positive exponents only.)

Ask by Pope Cox. in the United States

Jan 15,2025

Question

Simplify and express answers using positive exponents only. Variables are restricted to avoid division by 0

(Use positive exponents only.)

Ask by Pope Cox. in the United States

Jan 15,2025

UpStudy AI · Accepted Answer

Para simplificar a expressão $$\frac{x^{-10}}{x^{-5}}$$ e expressá-la usando apenas expoentes positivos, siga os passos abaixo:

1. **Subtraia os expoentes:**
   
   $$
   \frac{x^{-10}}{x^{-5}} = x^{-10 - (-5)} = x^{-5}
   $$

2. **Converta o expoente negativo para positivo:**
   
   $$
   x^{-5} = \frac{1}{x^{5}}
   $$

Portanto, a expressão simplificada é:

$$
\frac{x^{-10}}{x^{-5}} = \frac{1}{x^{5}}
$$

**Resposta:**

$$
\frac{x^{-10}}{x^{-5}} = \frac{1}{x^{5}}
$$
$$ \frac{x^{-10}}{x^{-5}} = \frac{1}{x^{5}} $$