Question
Solve the equation
n=332745
Alternative Form
n≈4.667233
Evaluate
6n2×n=610
Multiply
More Steps

Evaluate
6n2×n
Multiply the terms with the same base by adding their exponents
6n2+1
Add the numbers
6n3
6n3=610
Divide both sides
66n3=6610
Divide the numbers
n3=6610
Cancel out the common factor 2
n3=3305
Take the 3-th root on both sides of the equation
3n3=33305
Calculate
n=33305
Solution
More Steps

Evaluate
33305
To take a root of a fraction,take the root of the numerator and denominator separately
333305
Multiply by the Conjugate
33×3323305×332
Simplify
33×3323305×39
Multiply the numbers
More Steps

Evaluate
3305×39
The product of roots with the same index is equal to the root of the product
3305×9
Calculate the product
32745
33×33232745
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
332745
n=332745
Alternative Form
n≈4.667233
Show Solution
