Pregunta
Divide the expression using the quotient rule. \( \frac{y^{9}}{y^{5}} \)
Ask by Mccoy Matthews. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The result is \( y^4 \).
Solución
When dividing powers with the same base, you subtract the exponent in the denominator from the exponent in the numerator. This is known as the quotient rule for exponents.
For the expression given:
y⁹ / y⁵
Subtract the exponents:
y^(9 - 5) = y⁴
Thus, the result is y⁴.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución The Deep Dive
To divide the expression \( \frac{y^{9}}{y^{5}} \) using the quotient rule, we subtract the exponents. So, \( y^{9-5} = y^{4} \). Therefore, the solution simplifies to \( y^4 \). Easy peasy! Just remember, with indices, when you divide like bases, you subtract the powers. It's a nifty little trick that makes algebra a whole lot smoother!
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
