Answer:
![\large\boxed{\dfrac{-3a^{-2}b^3}{15a^{-7}b^{-1}}=-\dfrac{1}{5}a^5b^4=-\dfrac{a^5b^4}{5}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B-3a%5E%7B-2%7Db%5E3%7D%7B15a%5E%7B-7%7Db%5E%7B-1%7D%7D%3D-%5Cdfrac%7B1%7D%7B5%7Da%5E5b%5E4%3D-%5Cdfrac%7Ba%5E5b%5E4%7D%7B5%7D%7D)
Step-by-step explanation:
![\dfrac{-3a^{-2}b^3}{15a^{-7}b^{-1}}=\dfrac{-3}{15}\cdot \dfrac{a^{-2}}{a^{-7}}\cdot\dfrac{b^3}{b^{-1}}\qquad\text{use}\ \dfrac{x^n}{x^m}=x^{n-m}\\\\=-\dfrac{3\!\!\!\!\diagup^1}{15\!\!\!\!\!\diagup_5}\cdot a^{-2-(-7)}\cdot b^{3-(-1)}=-\dfrac{1}{5}a^{-2+7}b^{3+1}=-\dfrac{1}{5}a^5b^4](https://tex.z-dn.net/?f=%5Cdfrac%7B-3a%5E%7B-2%7Db%5E3%7D%7B15a%5E%7B-7%7Db%5E%7B-1%7D%7D%3D%5Cdfrac%7B-3%7D%7B15%7D%5Ccdot%20%5Cdfrac%7Ba%5E%7B-2%7D%7D%7Ba%5E%7B-7%7D%7D%5Ccdot%5Cdfrac%7Bb%5E3%7D%7Bb%5E%7B-1%7D%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Cdfrac%7Bx%5En%7D%7Bx%5Em%7D%3Dx%5E%7Bn-m%7D%5C%5C%5C%5C%3D-%5Cdfrac%7B3%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E1%7D%7B15%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdiagup_5%7D%5Ccdot%20a%5E%7B-2-%28-7%29%7D%5Ccdot%20b%5E%7B3-%28-1%29%7D%3D-%5Cdfrac%7B1%7D%7B5%7Da%5E%7B-2%2B7%7Db%5E%7B3%2B1%7D%3D-%5Cdfrac%7B1%7D%7B5%7Da%5E5b%5E4)
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Answer:
82
Step-by-step explanation:
get rid of dicemal
Answer:
V = 286319.465 cm3
Step-by-step explanation:
First, you have to find the radius to be able to find the volume of a sphere.
The equation for the area of a circle is pi r^2 so you have to so some algebra.
5252 = pi r ^2
5252/pi = r^2
1671.76352 = r^2
sqrt(1671.76352) = r
r = 40.8872048
then you do the equation for the volume of a circle which is 4/3 pi r^3
4/3 pi (40.8872048)^3
4/3 pi 68353.7373
4/3 214739.599
286319.465
V = 286319.465 cm3