Evaluate: $$ 216^{\frac{2}{3}} $$

Question

UpStudy AI · Accepted Answer

To evaluate $$ 216^{\frac{2}{3}} $$, follow these steps:

1. **Express 216 as a Power of 6:**
   $$
   216 = 6^3
   $$
   
2. **Apply the Exponent Rule $$(a^b)^c = a^{b \cdot c}$$:**
   $$
   216^{\frac{2}{3}} = (6^3)^{\frac{2}{3}} = 6^{3 \cdot \frac{2}{3}} = 6^2
   $$
   
3. **Calculate $$6^2$$:**
   $$
   6^2 = 36
   $$

**Final Answer:**  
$$ 216^{\frac{2}{3}} = 36 $$
$$ 216^{\frac{2}{3}} = 36 $$

Evaluate:

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Pre Algebra Questions