Question
Simplify the expression
n3−100000
Evaluate
n2×n−100000
Solution
More Steps

Evaluate
n2×n
Use the product rule an×am=an+m to simplify the expression
n2+1
Add the numbers
n3
n3−100000
Show Solution

Find the roots
n=103100
Alternative Form
n≈46.415888
Evaluate
n2×n−100000
To find the roots of the expression,set the expression equal to 0
n2×n−100000=0
Multiply the terms
More Steps

Evaluate
n2×n
Use the product rule an×am=an+m to simplify the expression
n2+1
Add the numbers
n3
n3−100000=0
Move the constant to the right-hand side and change its sign
n3=0+100000
Removing 0 doesn't change the value,so remove it from the expression
n3=100000
Take the 3-th root on both sides of the equation
3n3=3100000
Calculate
n=3100000
Solution
More Steps

Evaluate
3100000
Write the expression as a product where the root of one of the factors can be evaluated
31000×100
Write the number in exponential form with the base of 10
3103×100
The root of a product is equal to the product of the roots of each factor
3103×3100
Reduce the index of the radical and exponent with 3
103100
n=103100
Alternative Form
n≈46.415888
Show Solution
