Nice job inputting the expression.
The cube root is a 1/3 power. The 4 in the denominator is a -4 power in the numerator. When we have powers of powers we multiply them all together. When we have a product to a power we have to raise each factor to the power.
We get to choose whether we want a fraction at the end or negative exponents. Because of the constant 16 in the denominator I chose fraction.
![\dfrac{1}{( \sqrt[3]{8p^6})^4} = ( \sqrt[3]{8p^6})^{-4} = ( (8p^6)^{\frac 1 3})^{-4} =(8^{\frac 1 3})^{-4} p^{(6(-4)/3)} = 2^{-4} p^{-8} = \dfrac{1}{16p^8}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B%28%20%5Csqrt%5B3%5D%7B8p%5E6%7D%29%5E4%7D%20%3D%20%28%20%5Csqrt%5B3%5D%7B8p%5E6%7D%29%5E%7B-4%7D%20%3D%20%28%20%288p%5E6%29%5E%7B%5Cfrac%201%203%7D%29%5E%7B-4%7D%20%3D%288%5E%7B%5Cfrac%201%203%7D%29%5E%7B-4%7D%20p%5E%7B%286%28-4%29%2F3%29%7D%20%3D%202%5E%7B-4%7D%20p%5E%7B-8%7D%20%3D%20%5Cdfrac%7B1%7D%7B16p%5E8%7D)
Answer: 1/(16p⁸)
Step-by-step explanation:
small circle
C= pi D
C = 3.1415(9)
C= 28.3 ft
large circle
C= 2(3.1415)(7)
C = 44 ft
Add 28.3 + 44 = 72.3 ft
Answer:
x = t/4 and y = (t+17)/3
Step-by-step explanation:
4x-3y+17=0
or, 4x=3y-17
let, 4x = t
so, x = t/4
and 3y-17 = t
or, 3y = t+17
or, y = (t+17)/3
Answered by GAUTHMATH
Answer:
angle CDE is 10 degree
Step-by-step explanation:
As angle C is 90
Angle E is equal to angle B which is 80 (180-100)
so 90+80+X=180
X=180-170
X=10
A cube is a solid box whose every surface is a square of same area.
Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure it is clear that 8 such cubes will fit in it. So the volume of the box will be equal to the volume of 8 unit cubes together.
