SOLUTION: How do we solve this problem? 144^5=X^10

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
RELATED QUESTIONS
We are suppose to solve another classmates problem and I chose this one 10/1x2+5-(9+3)^2... (answered by ewatrrr)

How do we solve this problem?... (answered by Alan3354)

How do I solve this problem?... (answered by Fombitz)

What is 25x2-144? How would I solve this problem... (answered by CharlesG2)

How do I answer this? Solve the inequality. x^4 - 32x^2 - 144 >... (answered by Fombitz)

Hello, I am just starting pre-algebra this year and have done very well until now. We... (answered by stanbon)

how we solve this problem... (answered by checkley71)

How do we solve this equation... (answered by math_helper)

how do you solve this problem? x+x _ _ 5... (answered by jim_thompson5910,stanbon)