Simplify each expression using the properties of numbers.Show each step
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Answer:
The voltage in exponential form would be .
The original voltage in the circuit is of a volt.
Step-by-step explanation:
Let x represent the original voltage.
We have been given that the voltage in an electrical circuit is multiplied by itself each time it is reduced. The voltage is 27/125 of a volt and it has been reduced 3 times.
The original voltage multiplied by itself for 3 times would be .
Now, we will equate with 27/125 as:
We know that 27 is cube of 3 and 125 is cube of 5, so we can represent our equation as:
Therefore, the voltage in exponential form would be
Now, we will take cube root of both sides to find original voltage in the circuit as:
Using property , we will get:
Therefore, the original voltage in the circuit is of a volt.