Question
Solve the equation
Solve for n
Solve for s
n=661296sn=−661296s
Evaluate
s=n×12n2×3n3
Multiply
More Steps

Evaluate
n×12n2×3n3
Multiply the terms with the same base by adding their exponents
n1+2+3×12×3
Add the numbers
n6×12×3
Multiply the terms
n6×36
Use the commutative property to reorder the terms
36n6
s=36n6
Swap the sides of the equation
36n6=s
Divide both sides
3636n6=36s
Divide the numbers
n6=36s
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±636s
Simplify the expression
More Steps

Evaluate
636s
To take a root of a fraction,take the root of the numerator and denominator separately
6366s
Simplify the radical expression
366s
Multiply by the Conjugate
36×3626s×362
Calculate
66s×362
Calculate
More Steps

Evaluate
6s×362
Use na=mnam to expand the expression
6s×664
The product of roots with the same index is equal to the root of the product
6s×64
Calculate the product
664s
6664s
Calculate
661296s
n=±661296s
Solution
n=661296sn=−661296s
Show Solution
