Pregunta
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The simplified form of
is
.
Solución
To simplify the expression:
follow these steps using the laws of exponents:
Step 1: Apply the Power of a Power Rule
The Power of a Power rule states that
. Apply this to
:
Step 2: Rewrite the Expression
Substitute
back into the original expression:
Step 3: Apply the Quotient Rule
The Quotient rule for exponents states that
. Apply this to
:
Final Simplified Form
Therefore, the simplified form of
is
.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Bonus Knowledge
First, let’s simplify the expression
. By applying the power of a power rule, we can simplify
to
. So now we have
. When dividing like bases, we subtract the exponents:
. Therefore, the simplified expression is
.
Isn’t it fascinating how exponents can make these calculations quicker? Remember, keeping your exponent rules in mind can save you a lot of time and effort when tackling algebraic expressions! You can also think of exponents as a shorthand notation that helps represent repeated multiplication—perfect for efficiently working with large numbers or variables!
preguntas relacionadas

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium