Question
Solve the equation
x=2383529
Alternative Form
x≈2.813071
Evaluate
x×x2×23=512
Multiply
More Steps

Evaluate
x×x2×23
Multiply the terms with the same base by adding their exponents
x1+2×23
Add the numbers
x3×23
Use the commutative property to reorder the terms
23x3
23x3=512
Divide both sides
2323x3=23512
Divide the numbers
x3=23512
Take the 3-th root on both sides of the equation
3x3=323512
Calculate
x=323512
Solution
More Steps

Evaluate
323512
To take a root of a fraction,take the root of the numerator and denominator separately
3233512
Simplify the radical expression
More Steps

Evaluate
3512
Write the number in exponential form with the base of 8
383
Reduce the index of the radical and exponent with 3
8
3238
Multiply by the Conjugate
323×323283232
Simplify
323×323283529
Multiply the numbers
More Steps

Evaluate
323×3232
The product of roots with the same index is equal to the root of the product
323×232
Calculate the product
3233
Reduce the index of the radical and exponent with 3
23
2383529
x=2383529
Alternative Form
x≈2.813071
Show Solution
