select the correct answer.\nthe hoover dam produces electricity which powers parts of nevada and california…

select the correct answer.\nthe hoover dam produces electricity which powers parts of nevada and california. it is made up of 17 generators, each of which produces electricity with a voltage of about 1.60×10⁴ volts and a current of about 7.40×10³ amps. how much power is produced by each generator?\na. 2.16 watts\nb. 11.8 watts\nc. 1.18×10⁸ watts\nd. 2.34×10⁴ watts\ne. 8.6×10³ watts

select the correct answer.\nthe hoover dam produces electricity which powers parts of nevada and california. it is made up of 17 generators, each of which produces electricity with a voltage of about 1.60×10⁴ volts and a current of about 7.40×10³ amps. how much power is produced by each generator?\na. 2.16 watts\nb. 11.8 watts\nc. 1.18×10⁸ watts\nd. 2.34×10⁴ watts\ne. 8.6×10³ watts

Answer

Explanation:

Step1: Recall power - formula

The formula for electrical power is $P = VI$, where $P$ is power, $V$ is voltage, and $I$ is current.

Step2: Substitute given values

Given $V = 1.60\times10^{4}$ volts and $I = 7.40\times10^{3}$ amps. Then $P=(1.60\times 10^{4})\times(7.40\times10^{3})$. Using the rule of exponents $a^{m}\times a^{n}=a^{m + n}$, we have $P=(1.60\times7.40)\times10^{4 + 3}$. $1.60\times7.40 = 11.84$, so $P = 11.84\times10^{7}$. In scientific - notation, $P=1.184\times 10^{8}$ watts. Rounding to two significant figures, $P\approx1.18\times10^{8}$ watts.

Answer:

C. $1.18\times 10^{8}$ watts