Question
Solve the equation
x=2831274
Alternative Form
x≈0.387167
Evaluate
13=32×7x3
Multiply the numbers
13=224x3
Swap the sides of the equation
224x3=13
Divide both sides
224224x3=22413
Divide the numbers
x3=22413
Take the 3-th root on both sides of the equation
3x3=322413
Calculate
x=322413
Solution
More Steps

Evaluate
322413
To take a root of a fraction,take the root of the numerator and denominator separately
3224313
Simplify the radical expression
More Steps

Evaluate
3224
Write the expression as a product where the root of one of the factors can be evaluated
38×28
Write the number in exponential form with the base of 2
323×28
The root of a product is equal to the product of the roots of each factor
323×328
Reduce the index of the radical and exponent with 3
2328
2328313
Multiply by the Conjugate
2328×3282313×3282
Simplify
2328×3282313×2398
Multiply the numbers
More Steps

Evaluate
313×2398
Multiply the terms
31274×2
Use the commutative property to reorder the terms
231274
2328×3282231274
Multiply the numbers
More Steps

Evaluate
2328×3282
Multiply the terms
2×28
Multiply the terms
56
56231274
Cancel out the common factor 2
2831274
x=2831274
Alternative Form
x≈0.387167
Show Solution
