Given:
The expression is
![\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B3%5D%7B9%7D%7D%7B%5Csqrt%5B3%5D%7B4%7D%7D)
To find:
The simplified form of given expression.
Solution:
We have,
It can be written as
![\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}=\sqrt[3]{\dfrac{9}{4}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B3%5D%7B9%7D%7D%7B%5Csqrt%5B3%5D%7B4%7D%7D%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B9%7D%7B4%7D%7D)
![\left[\because \dfrac{\sqrt[a]{x}}{\sqrt[a]{y}}=\sqrt[a]{\dfrac{x}{y}}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7B%5Csqrt%5Ba%5D%7Bx%7D%7D%7B%5Csqrt%5Ba%5D%7By%7D%7D%3D%5Csqrt%5Ba%5D%7B%5Cdfrac%7Bx%7D%7By%7D%7D%5Cright%5D)
Therefore, the simplified form of given expression is ![\sqrt[3]{\dfrac{9}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cdfrac%7B9%7D%7B4%7D%7D)
.
Note: We can further simplify this expression but be need use exponential properties.
Answer:
25π cm ≈ 78.54 cm
Step-by-step explanation:
The diameter of the circumscribing circle is the diagonal of the rectangle.
You may recognize the rectangle dimensions as the numbers in the (7, 24, 25) Pythagorean triple. If not, you can compute the diagonal length from ...
d = √(7²+24²) = √(49+576) = √625 = 25 . . . . centimeters
The circumference of the circle is π times the diameter:
C = πd = 25π cm
Answer:
he will be payed 420 dollars at the end of the week
Texas had 38 electoral votes in the 2016 presidential election
Answer:
f(-14)=-15
Step-by-step explanation:
What ever is in the parentheses after the letter (in this case it's f) will be the x value since f(x).
So
f(-4)=5(-4)+5
Then solve.
f(-4)=-20+5
f(-4)=-15
-15
