Solve p1*p^3 = p^2*p^4

Evaluate

p \times 1 \times p^{3} = p^{2} \times p^{4}

Multiply the terms

More Steps

p^{4} = p^{2} \times p^{4}

Multiply the terms

More Steps

p^{4} = p^{6}

Move the expression to the left side

p^{4} - p^{6} = 0

Factor the expression

p^{4} (1 - p^{2}) = 0

Separate the equation into 2 possible cases

p^{4} = 0 1 - p^{2} = 0

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

p = 0 1 - p^{2} = 0

Solve the equation

More Steps

p = 0 p = 1 p = - 1

Solution

p_{1} = - 1, p_{2} = 0, p_{3} = 1

Solve the equation