Question
Solve the equation
x=33450
Alternative Form
x≈2.554365
Evaluate
x2×6x=100
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=100
Divide both sides
66x3=6100
Divide the numbers
x3=6100
Cancel out the common factor 2
x3=350
Take the 3-th root on both sides of the equation
3x3=3350
Calculate
x=3350
Solution
More Steps

Evaluate
3350
To take a root of a fraction,take the root of the numerator and denominator separately
33350
Multiply by the Conjugate
33×332350×332
Simplify
33×332350×39
Multiply the numbers
More Steps

Evaluate
350×39
The product of roots with the same index is equal to the root of the product
350×9
Calculate the product
3450
33×3323450
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
33450
x=33450
Alternative Form
x≈2.554365
Show Solution
