Answer:
![2a^{\frac{5}{2}}-4a^{-\frac{1}{2}}](https://tex.z-dn.net/?f=2a%5E%7B%5Cfrac%7B5%7D%7B2%7D%7D-4a%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D)
Step-by-step explanation:
It looks like you want to expand the expression ...
![\sqrt{a}\left(2a^2 -\dfrac{4}{a}\right)](https://tex.z-dn.net/?f=%5Csqrt%7Ba%7D%5Cleft%282a%5E2%20-%5Cdfrac%7B4%7D%7Ba%7D%5Cright%29)
Use the distributive property and rules of exponents.
![=2a^{(\frac{1}{2}+2)}-4a^{(\frac{1}{2}-1)}\\\\=\boxed{2a^{\frac{5}{2}}-4a^{-\frac{1}{2}}}](https://tex.z-dn.net/?f=%3D2a%5E%7B%28%5Cfrac%7B1%7D%7B2%7D%2B2%29%7D-4a%5E%7B%28%5Cfrac%7B1%7D%7B2%7D-1%29%7D%5C%5C%5C%5C%3D%5Cboxed%7B2a%5E%7B%5Cfrac%7B5%7D%7B2%7D%7D-4a%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%7D)
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The relevant rules of exponents are ...
√a = a^(1/2)
1/a = a^-1
(a^b)(a^c) = a^(b+c)
Study habits and career goals/higher education goals
Answer:
all real numbers
Step-by-step explanation:
Okay, so here, we know that -10 is the slope, therefore, it is also the constant of proportionality.
'x' is the unknown value, that tells us to multiply by -10.
So, on a graph, we would consider that per unit, it would decrease by -10, since its a negative slope.
Hope I helped, if you have further questions or concerns, feel free to PM me. Thanks! :D