Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( (15-2)^{3} = 2\,197 \)
Solution
a) \( (15-2)^{3} = \)
**Paso 1:** Realizamos la resta dentro del paréntesis.
\[ 15 - 2 = 13 \]
**Paso 2:** Elevamos el resultado al cubo.
\[ 13^{3} = 13 \times 13 \times 13 \]
\[ 13 \times 13 = 169 \]
\[ 169 \times 13 = 2\,197 \]
**Resultado final:**
\[ (15-2)^{3} = 2\,197 \]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
The expression \( (15-2)^{3} \) simplifies to \( 13^{3} \). Now, if you calculate \( 13 \times 13 \times 13 \), you get \( 169 \times 13 = 2197 \). So, \( (15-2)^{3} = 2197 \)! But wait! Let’s explore how this calculation fits into our everyday lives. Exponents are everywhere! From calculating compound interest in your savings to understanding population growth, they help us model situations where quantities grow rapidly. In tech, they even pop up in algorithms that handle vast amounts of data. Isn't it fascinating how math we learn in school has such real-world applications?
