Bunuel wrote:
The microcurrent through the electrode in a delicate circuit is usually held constant at \(3.6*10^{(-8)}\) amps. Because of a defect in another part of the circuit, the current was 1,000 times smaller. What was the current, in amps, caused by this defect?
A. \(3.6 * 10^{(-8000)}\)
B. \(3.6 * 10^{(-24)}\)
C. \(3.6 * 10^{(-11)}\)
D. \(3.6 * 10^{(-5)}\)
E. \(3.6 * 10^{(-\frac{8}{3})}\)
Key concept #1: If X is 1000 times smaller than Y, we can write: X = Y/1000Key concept #2: \(\frac{ab}{c}=(a)(\frac{b}{c})\)So, the measure of the resulting current = \(\frac{3.6*10^{(-8)}}{1000}\)
Rewrite as: \(\frac{3.6*10^{(-8)}}{10^3}\)
Use Concept #2 to rewrite as: \((3.6)\frac{10^{(-8)}}{10^3}\)
Apply Quotient Law for exponents to get: \((3.6)(10^{(-8-3)})\)
Simplify: \((3.6)(10^{(-11)})\)
Answer: C
Cheers,
Brent