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Popular >

simplify At*Kt^αLt^{(1-α)}

Solution

simplify

A t \cdot K t^{α} L t^{(1 - α)}

Solution

L A t^{2} K

Solution steps

A t K t^{α} L t^{(1 - α)}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

t t^{α} t^{1 - α} = t^{1 + α + 1 - α}

= A K L t^{1 + α + 1 - α}

Simplify

1 + α + 1 - α : 2

= L A t^{2} K

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Frequently Asked Questions (FAQ)

What is At*Kt^αLt^{(1-α)} ?
The solution to At*Kt^αLt^{(1-α)} is LAt^2K