Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
To calculate
, you raise
to the power of 3:
Multiplying the fractions together:
Then,
So,
Answer: The value of
is
or 0.125.
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Beyond the Answer
The value of
is calculated by multiplying
by itself three times. So,
. Therefore,
.
Now, here’s a fun tidbit: The concept of exponents came from the need to simplify repeated multiplication, which has been used for centuries! The term “exponent” derives from the Latin word “exponere,” meaning “to put forth.”
Another interesting point is that understanding exponents is crucial in various real-life scenarios, such as calculating areas, volumes, or even in financial mathematics where compound interest can be represented using exponential functions. Knowing how to manipulate these numbers can help simplify complex problems!