Solve |a^5|=a^5 - ScanMath

Evaluate

a^{5} = a^{5}

Rewrite the expression

a^{5} - a^{5} = 0

Separate the equation into 2 possible cases

a^{5} - a^{5} = 0, a^{5} \geq 0 - a^{5} - a^{5} = 0, a^{5} < 0

The statement is true for any value of a

More Steps

a \in R, a^{5} \geq 0 - a^{5} - a^{5} = 0, a^{5} < 0

The only way a base raised to an odd power can be greater than or equal to 0 is if the base is greater than or equal to 0

a \in R, a \geq 0 - a^{5} - a^{5} = 0, a^{5} < 0

Solve the equation

More Steps

a \in R, a \geq 0 a = 0, a^{5} < 0

The only way a base raised to an odd power can be less than 0 is if the base is less than 0

a \in R, a \geq 0 a = 0, a < 0

Find the intersection

a \geq 0 a = 0, a < 0

Find the intersection

a \geq 0 a \in \emptyset

Solution

a \geq 0

Alternative Form

a \in [0, + \infty)

Solve the equation