Answer:
The correct option is option (3) 4 ÷ 25.
Step-by-step explanation:
The expression in terms of <em>m</em> and <em>n</em> is:
![F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}](https://tex.z-dn.net/?f=F%28m%2Cn%29%3D%5B%5Cfrac%7B2m%5E%7B-1%7Dn%5E%7B5%7D%7D%7B3m%5E%7B0%7Dn%5E%7B4%7D%7D%5D%5E%7B2%7D)
Exponent rule of division:
Compute the value of the expression for <em>m</em> = -5 and <em>n</em> = 3 as follows:
![F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}](https://tex.z-dn.net/?f=F%28-5%2C3%29%3D%5B%5Cfrac%7B2%5Ccsdot%20%28-5%29%5E%7B-1%7D%5Ccdot%20%283%29%5E%7B5%7D%7D%7B3%5Ccdot%20%28-5%29%5E%7B0%7D%5Ccdot%20%283%29%5E%7B4%7D%7D%5D%5E%7B2%7D)
![=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}](https://tex.z-dn.net/?f=%3D%5C%7B%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5B%28-5%29%5E%7B-1-0%7D%5Ctimes%20%283%29%5E%7B5-4%7D%7D%5D%5C%7D%5E%7B2%7D%5C%5C%5C%5C%3D%5C%7B%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cfrac%7B-1%7D%7B5%7D%5Ctimes%203%5C%7D%5E%7B2%7D%5C%5C%5C%5C%3D%5C%7B-%5Cfrac%7B2%7D%7B5%7D%5C%7D%5E%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B4%7D%7B25%7D)
Thus, the correct option is option (3) 4 ÷ 25.
To compare the answers, you need to have the same denominator.
We know that, 18 is a common denominator between 6 and 9.
(5/6)*3/3 => 15/18 (ALMONDS)
(7/9)*2/2 => 14/18 (CASHEWS)
As seen, the weight of almonds is 1/18 bigger than the cashews.
Hope I helped :)
Answer:
3h-9
Step-by-step explanation:
you can't fit it into an equation because 1, i dont a image of it and 2, you can't subtract a number from a coefficient/variable
Answer:
-39
Step-by-step explanation:
![\left(-3\right)^3-\sqrt[3]{27}-4^3\left(\sqrt[3]{64}-\left(2\right)\left(2\right)\right)-\frac{\left(3\right)^3\left(2\right)}{6}](https://tex.z-dn.net/?f=%5Cleft%28-3%5Cright%29%5E3-%5Csqrt%5B3%5D%7B27%7D-4%5E3%5Cleft%28%5Csqrt%5B3%5D%7B64%7D-%5Cleft%282%5Cright%29%5Cleft%282%5Cright%29%5Cright%29-%5Cfrac%7B%5Cleft%283%5Cright%29%5E3%5Cleft%282%5Cright%29%7D%7B6%7D)
Which gives us -39.
