Question
Solve the equation
n=6327900
Alternative Form
n≈5.054949
Evaluate
n2×6n=775
Multiply
More Steps

Evaluate
n2×6n
Multiply the terms with the same base by adding their exponents
n2+1×6
Add the numbers
n3×6
Use the commutative property to reorder the terms
6n3
6n3=775
Divide both sides
66n3=6775
Divide the numbers
n3=6775
Take the 3-th root on both sides of the equation
3n3=36775
Calculate
n=36775
Solution
More Steps

Evaluate
36775
To take a root of a fraction,take the root of the numerator and denominator separately
363775
Multiply by the Conjugate
36×3623775×362
Simplify
36×3623775×336
Multiply the numbers
More Steps

Evaluate
3775×336
The product of roots with the same index is equal to the root of the product
3775×36
Calculate the product
327900
36×362327900
Multiply the numbers
More Steps

Evaluate
36×362
The product of roots with the same index is equal to the root of the product
36×62
Calculate the product
363
Reduce the index of the radical and exponent with 3
6
6327900
n=6327900
Alternative Form
n≈5.054949
Show Solution
