Pregunta
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
When
,
.
Solución
To evaluate the expression
when
, follow these steps:
-
Substitute
into the expression: -
Understand the property of exponents:
Any non-zero number raised to the power of 0 is 1. That is: -
Apply this property:
Therefore, the value of
when
is:
Answer:
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Como
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Extra Insights
To evaluate
when
, we substitute
for
:
Any number raised to the power of zero equals 1. Therefore,
So, the correct answer is
.
Now, here’s a fun fact: This principle holds true for any non-zero number. It’s like a magical rule in mathematics that brings a bit of consistency to the otherwise wild world of exponents!
Additionally, you might wonder why this rule applies. It comes from the properties of exponents: dividing powers of the same base leads to subtracting their exponents according to the formula
. So, if
, you’d get
. It’s a neat way to see the harmony in mathematical laws!
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