Question

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 three times. Write the voltage in exponential form. What was the original voltage in the circuit?

Answer 1

Exponential form: F(x)= 3/125^x+1
Original voltage: 3/125 of a volt

Answer 2

The correct answer is:

x³ = 27/125; and

x = 3/5.

Step-by-step explanation:

Reducing the voltage 3 times would result in multiplying the unknown voltage, x, by itself 3 times; this gives us

x³.

The current voltage is 27/125; this gives us the equation

x³ = 27/125.

To solve this, take the cubed root of both sides:

∛(x³) = ∛(27/125)

x = (∛27)/(∛125)

x = (∛(3*3*3))/(∛(5*5*5))

x = 3/5