Maths question on algebra/ square root

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Redstudent
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Need help if possible. Can anyone explain how you work out what the si units of a if a = [b over ed). Si unit for b is kg m3 s^2, si unit for e is kg and si units for d is m s^-2.
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justsomeguy17
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a=m2s4. You have kg/kg so they cancel. m3/m simplifies to m2, s2/s-2 simplifies to s4. Simple index laws.
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Eimmanuel
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(Original post by Redstudent)
Need help if possible. Can anyone explain how you work out what the si units of a if a = [b over ed). Si unit for b is kg m3 s^2, si unit for e is kg and si units for d is m s^-2.
You can treat the units as unknown variables and apply the law of indices to simplify the power.


 [a] = \dfrac{[b]}{[ed]}


 [a] = \dfrac{\text{kg} \cdot \text{m}^3 \cdot \text{s}^2}{\text{kg} \cdot \text{m} \cdot \text{s}^{-2}}


 [a] = \text{kg}^{1 - 1} \cdot \text{m}^{3 – 1}\cdot \text{s}^{2 – (-2)}


I would leave the algebra to you.
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