<u>Answer:</u>
The correct answer option is
.
<u>Step-by-step explanation:</u>
We are given the following expression and we are to evaluate it when
and
:
![[\frac{3^2a^{-2}}{3a^{-1}} ]^k](https://tex.z-dn.net/?f=%5B%5Cfrac%7B3%5E2a%5E%7B-2%7D%7D%7B3a%5E%7B-1%7D%7D%20%5D%5Ek)
Substituting the given values of
and
to get:
![[\frac{3^2(5)^{-2}}{3(5)^{-1}} ]^{-2}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B3%5E2%285%29%5E%7B-2%7D%7D%7B3%285%29%5E%7B-1%7D%7D%20%5D%5E%7B-2%7D)
![\frac{3^{(2\times -2)}.5^{(1\times-2)}}{3^{(-1\times-2)}.5^{(2\times-2)}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B%282%5Ctimes%20-2%29%7D.5%5E%7B%281%5Ctimes-2%29%7D%7D%7B3%5E%7B%28-1%5Ctimes-2%29%7D.5%5E%7B%282%5Ctimes-2%29%7D%7D)
![\frac{3^{-4}.5^{-2}}{3^{-2}.5^{-4}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B-4%7D.5%5E%7B-2%7D%7D%7B3%5E%7B-2%7D.5%5E%7B-4%7D%7D)
![3^{-2}.5^2](https://tex.z-dn.net/?f=3%5E%7B-2%7D.5%5E2)
![\frac { 1 } { 3 ^ 2 } . 2](https://tex.z-dn.net/?f=%20%5Cfrac%20%7B%201%20%7D%20%7B%203%20%5E%202%20%7D%20.%202%20)
![\frac { 1 } { 9 } . 2 5](https://tex.z-dn.net/?f=%20%5Cfrac%20%7B%201%20%7D%20%7B%209%20%7D%20.%202%205%20)
![\frac { 2 5 } { 9 }](https://tex.z-dn.net/?f=%20%5Cfrac%20%7B%202%205%20%7D%20%7B%209%20%7D%20)
I believe it is 269.5 pi cm^3
The rule is called the power rule. this is when you have 1/n as a d exponent and it makes the number rooted. so 1/2 as an exponent makes the number square rooted.
Answer:
107.86 to 2 d.p.
Step-by-step explanation:
makes a triangle. 120 feet is the hypotenuse.
we want to find the opposite so we will use sine.
sin(x) = opp/hyp which means opp = sin(x)hyp.
opp = sin(64)120
opp = 107.86 to 2d.p.