Question
Solve the equation
x=2334
Alternative Form
x≈2.381102
Evaluate
x2×4x=54
Multiply
More Steps

Evaluate
x2×4x
Multiply the terms with the same base by adding their exponents
x2+1×4
Add the numbers
x3×4
Use the commutative property to reorder the terms
4x3
4x3=54
Divide both sides
44x3=454
Divide the numbers
x3=454
Cancel out the common factor 2
x3=227
Take the 3-th root on both sides of the equation
3x3=3227
Calculate
x=3227
Solution
More Steps

Evaluate
3227
To take a root of a fraction,take the root of the numerator and denominator separately
32327
Simplify the radical expression
More Steps

Evaluate
327
Write the number in exponential form with the base of 3
333
Reduce the index of the radical and exponent with 3
3
323
Multiply by the Conjugate
32×3223322
Simplify
32×322334
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
2334
x=2334
Alternative Form
x≈2.381102
Show Solution
