<h2>Answer</h2>
2
<h2>Explanation</h2>
First, we are going to use the law of fractional exponents: ![a^{\frac{1}{n} =\sqrt[n]{a}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7B1%7D%7Bn%7D%20%3D%5Csqrt%5Bn%5D%7Ba%7D)
We can infer form our expression that 
and 
, so let's replace the values:
![16^{\frac{1}{4} }=\sqrt[4]{16}](https://tex.z-dn.net/?f=16%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%3D%5Csqrt%5B4%5D%7B16%7D)
Notice that we can also decompose 16 into prime factors to get 
, so we can rewrite our expression as follows:
![\sqrt[4]{16}=\sqrt[4]{2^4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D%3D%5Csqrt%5B4%5D%7B2%5E4%7D)
Finally, we can use the rule of radicals: ![\sqrt[n]{a^n} =a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%20%3Da)
, so:
![\sqrt[4]{2^4}=2](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2%5E4%7D%3D2)
Answer: c
Step-by-step explanation:
Answer:0.2588
Step-by-step explanation:
1/4 is a fraction equivalent
Answer:
8.058655822 mins
Step-by-step explanation:
We have a table and to solve for this we might want to find the equation for this
This is a exponential function
To solve for this we need the rate of decay and the x intercept
We know the x intercept is 180 because in 0 mins the temp is 180
To solve for decay we need to know the temp of the cake after 1 min
to get the decay value we can do
125= 180 (x)^5
.69444444444 = x^5
0.929667185 = x
so the equation would be
180 (0.929667185)^x
if we tell this equation to equal 100
we get
100 = 180 (0.929667185)^x
.5556 = (0.929667185)^x
log .5556 = log 0.929667185 *x
log .5556 / log .929667185)
8.058655822= x
After 8.058655822 mins the cake will be 100 degrees
