Question
Solve the equation
x=4200311×10502
Alternative Form
x≈0.054703
Evaluate
44000=3200x3×84000
Multiply the terms
44000=268800000x3
Swap the sides of the equation
268800000x3=44000
Divide both sides
268800000268800000x3=26880000044000
Divide the numbers
x3=26880000044000
Cancel out the common factor 4000
x3=6720011
Take the 3-th root on both sides of the equation
3x3=36720011
Calculate
x=36720011
Solution
More Steps

Evaluate
36720011
To take a root of a fraction,take the root of the numerator and denominator separately
367200311
Simplify the radical expression
More Steps

Evaluate
367200
Write the expression as a product where the root of one of the factors can be evaluated
364×1050
Write the number in exponential form with the base of 4
343×1050
The root of a product is equal to the product of the roots of each factor
343×31050
Reduce the index of the radical and exponent with 3
431050
431050311
Multiply by the Conjugate
431050×310502311×310502
The product of roots with the same index is equal to the root of the product
431050×310502311×10502
Multiply the numbers
More Steps

Evaluate
431050×310502
Multiply the terms
4×1050
Multiply the terms
4200
4200311×10502
x=4200311×10502
Alternative Form
x≈0.054703
Show Solution
