Answer:
The cube root of given expression is 
.
Step-by-step explanation:
The given expression is
![\sqrt[3]{216x^9y^{18}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216x%5E9y%5E%7B18%7D%7D)
It can be written as
Use the exponent property: 
![\sqrt[3]{216x^9y^{18}}=\sqrt[3]{6^3(x^3)^3(y^6)^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216x%5E9y%5E%7B18%7D%7D%3D%5Csqrt%5B3%5D%7B6%5E3%28x%5E3%29%5E3%28y%5E6%29%5E%7B3%7D%7D)
![\sqrt[3]{216x^9y^{18}}=\sqrt[3]{(6x^3y^6)^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216x%5E9y%5E%7B18%7D%7D%3D%5Csqrt%5B3%5D%7B%286x%5E3y%5E6%29%5E%7B3%7D%7D)
![\sqrt[3]{216x^9y^{18}}=6x^3y^6](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216x%5E9y%5E%7B18%7D%7D%3D6x%5E3y%5E6)
Therefore the cube root of given expression is .
Answer:
g(-3) = -10
Step-by-step explanation:
All you have to do is plug -3 in for x!
g(-3) = 2(-3) - 4
g(-3) = -6 - 4
g(-3) = -10
Answer:
$13842.43
Step-by-step explanation:
Given data
Value of car=$15,250
Rate of depreciation= 16%
Time = 6 years
We can use the exponential function below to model the value of the car after 6 years
v(t)= a(r)^x
But r= 1-0.016----------Because the value is depreciating
a=15,250
r=0.016
x=6
Substitute
v(t)= 15250(1-0.016)^6
v(t)= 15250(0.984)^6
v(t)= 15250*0.9077
v(t)= $13842.43
Hence the value will be $13842.43 after 6 years
The third answer
1 quarter, 6 dimes, 1 nickel, 7 pennies
