Solve 2u^(2) 13u 16=(u^6)^(2)

Evaluate

2 u^{2} \times 13 u \times 16 = (u^{6})^{2}

Multiply

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416 u^{3} = (u^{6})^{2}

Simplify

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416 u^{3} = u^{12}

Move the expression to the left side

416 u^{3} - u^{12} = 0

Factor the expression

u^{3} (416 - u^{9}) = 0

Separate the equation into 2 possible cases

u^{3} = 0 416 - u^{9} = 0

The only way a power can be 0 is when the base equals 0

u = 0 416 - u^{9} = 0

Solve the equation

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u = 0 u = 9416

Solution

u_{1} = 0, u_{2} = 9416

Alternative Form

u_{1} = 0, u_{2} \approx 1.954386

Solve the equation