Question
Solve the equation
x=1460333×7302
Alternative Form
x≈0.178115
Evaluate
365x3×64=132
Multiply the terms
23360x3=132
Divide both sides
2336023360x3=23360132
Divide the numbers
x3=23360132
Cancel out the common factor 4
x3=584033
Take the 3-th root on both sides of the equation
3x3=3584033
Calculate
x=3584033
Solution
More Steps

Evaluate
3584033
To take a root of a fraction,take the root of the numerator and denominator separately
35840333
Simplify the radical expression
More Steps

Evaluate
35840
Write the expression as a product where the root of one of the factors can be evaluated
38×730
Write the number in exponential form with the base of 2
323×730
The root of a product is equal to the product of the roots of each factor
323×3730
Reduce the index of the radical and exponent with 3
23730
23730333
Multiply by the Conjugate
23730×37302333×37302
The product of roots with the same index is equal to the root of the product
23730×37302333×7302
Multiply the numbers
More Steps

Evaluate
23730×37302
Multiply the terms
2×730
Multiply the terms
1460
1460333×7302
x=1460333×7302
Alternative Form
x≈0.178115
Show Solution
