Question
Solve the equation
n=−2352
Alternative Form
n≈−1.866256
Evaluate
−2n3=13
Change the signs on both sides of the equation
2n3=−13
Divide both sides
22n3=2−13
Divide the numbers
n3=2−13
Use b−a=−ba=−ba to rewrite the fraction
n3=−213
Take the 3-th root on both sides of the equation
3n3=3−213
Calculate
n=3−213
Solution
More Steps

Evaluate
3−213
An odd root of a negative radicand is always a negative
−3213
To take a root of a fraction,take the root of the numerator and denominator separately
−32313
Multiply by the Conjugate
32×322−313×322
Simplify
32×322−313×34
Multiply the numbers
More Steps

Evaluate
−313×34
The product of roots with the same index is equal to the root of the product
−313×4
Calculate the product
−352
32×322−352
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
2−352
Calculate
−2352
n=−2352
Alternative Form
n≈−1.866256
Show Solution
