Answer:
nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
Step-by-step explanation:
we know that
The <u><em>Power of a Power Property</em></u>
, states that :To find a power of a power, multiply the exponents
so
In this problem we have
![9^{\frac{1}{3}} =\sqrt[3]{9}](https://tex.z-dn.net/?f=9%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%5Csqrt%5B3%5D%7B9%7D)
Remember that
![\sqrt[3]{9}=9^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9%7D%3D9%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
Raise to the third power
![[9^{\frac{1}{3}}]^3](https://tex.z-dn.net/?f=%5B9%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5D%5E3)
Applying the power of power property
therefore
nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
Answer:
a) $7.27344
b) 263.974 hours
Step-by-step explanation:
a)
+) 1 day = 24 hours
+) The cost for 1000 watts each hour is $0.05051 so that each hour use of 1 watt costs: $0.05051 / 1000 = $0.00005051
+) Each hour, each electric heater uses 1200 watts costs: $0.00005051 x 1200 = $0.060612
=> In 24 hours, to heat each electricity heater costs: $0.060612 x 24 = $1.454688
=> In 24 hours, to heat 5 electricity heaters costs: $1.454688 x 5 = $7.27344
<em>So that it costs $7.27344 to heat her house for 1 day</em>
<em />
b)
As calculated, the cost to use 1 watt in one hour is $0.00005051
=> The cost to use 75 watts in one hour is: $0.00005051 x 72 = $0.00378825
Assume that the hours of using 72 watts to cost $1 is x (hour)
So that: $0.00378825 * x = $1
=> x = 1/ 0.00378825= 263.974 hours
<em>It takes 263.974 hours for a 75-watt lightbulb to stay on to result in $1 electricity charges</em>
<em />
Answer:
A and C
Step-by-step explanation:
The meaning of an event being independent is that one event doesn't effect the probability of they other event happening. So B is wrong because whether yo sleep or not can affect whether you dream or not and D is wrong because you earning and allowance is based off whether you do your chores or not.
