Question 502701
144^(5)=X^(10)

Since X is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
X^(10)=144^(5)

Take the +10th root of both sides of the equation to eliminate the exponent on the left-hand side.
X=(144^(5))^((1)/(10))

Raising a number to the 5th power is the same as multiplying the number by itself 5 times.
X=(61917364224)^((1)/(10))

Expand the exponent ((1)/(10)) to the expression.
X=(61917364224^((1)/(10)))

An expression with a fractional exponent can be written as a radical with an index equal to the denominator of the exponent.
X=((~10:(61917364224)))

Pull all perfect 10th roots out from under the radical.  In this case, remove the 12 because it is a perfect 10th.
X=((12))

Remove the parentheses around the expression 12.
X=(12)

Remove the parentheses around the expression 12.
X=12