Question
Solve the equation
x=3239
Alternative Form
x≈1.386723
Evaluate
x2×6x=16
Multiply
More Steps

Evaluate
x2×6x
Multiply the terms with the same base by adding their exponents
x2+1×6
Add the numbers
x3×6
Use the commutative property to reorder the terms
6x3
6x3=16
Divide both sides
66x3=616
Divide the numbers
x3=616
Cancel out the common factor 2
x3=38
Take the 3-th root on both sides of the equation
3x3=338
Calculate
x=338
Solution
More Steps

Evaluate
338
To take a root of a fraction,take the root of the numerator and denominator separately
3338
Simplify the radical expression
More Steps

Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
332
Multiply by the Conjugate
33×3322332
Simplify
33×332239
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
3239
x=3239
Alternative Form
x≈1.386723
Show Solution
