Question 502701: How do we solve this problem?
144^5=X^10
Answer by persian52(161)   (Show Source):
You can put this solution on YOUR website! 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
|
|
|
