Pregunta
Evaluate \( (5^{2})^{0} + (10^{3})^{0} \)
Ask by Wilson Ramirez. in South Africa
Jan 22,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
The expression evaluates to 2.
Solución
To evaluate the expression \( (5^{2})^{0} + (10^{3})^{0} \), let's break it down step by step:
1. **Understanding Exponents:**
- Any non-zero number raised to the power of 0 is equal to 1. In mathematical terms, for any \( a \neq 0 \):
\[
a^0 = 1
\]
2. **Applying the Rule:**
- Calculate each part of the expression separately:
\[
(5^{2})^{0} = 5^{2 \times 0} = 5^0 = 1
\]
\[
(10^{3})^{0} = 10^{3 \times 0} = 10^0 = 1
\]
3. **Adding the Results:**
- Now, add the two results together:
\[
1 + 1 = 2
\]
**Final Answer:**
**2**
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
error msg
Explicar 
Simplifique esta solución The Deep Dive
To evaluate the expression \( (5^{2})^{0} + (10^{3})^{0} \), we can use the property of exponents that states any non-zero number raised to the power of zero equals one. So we calculate each part: 1. \( (5^{2})^{0} = 1 \) (since \( 5^{2} \) is a non-zero number) 2. \( (10^{3})^{0} = 1 \) (since \( 10^{3} \) is also a non-zero number) Now, we can sum them up: \[ (5^{2})^{0} + (10^{3})^{0} = 1 + 1 = 2 \] Therefore, the final result is \( \boxed{2} \).
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
