Question
Solve the equation
k=−4384
Alternative Form
k≈−1.09488
Evaluate
−21=16k3
Swap the sides of the equation
16k3=−21
Divide both sides
1616k3=16−21
Divide the numbers
k3=16−21
Use b−a=−ba=−ba to rewrite the fraction
k3=−1621
Take the 3-th root on both sides of the equation
3k3=3−1621
Calculate
k=3−1621
Solution
More Steps

Evaluate
3−1621
An odd root of a negative radicand is always a negative
−31621
To take a root of a fraction,take the root of the numerator and denominator separately
−316321
Simplify the radical expression
More Steps

Evaluate
316
Write the expression as a product where the root of one of the factors can be evaluated
38×2
Write the number in exponential form with the base of 2
323×2
The root of a product is equal to the product of the roots of each factor
323×32
Reduce the index of the radical and exponent with 3
232
−232321
Multiply by the Conjugate
232×322−321×322
Simplify
232×322−321×34
Multiply the numbers
More Steps

Evaluate
−321×34
The product of roots with the same index is equal to the root of the product
−321×4
Calculate the product
−384
232×322−384
Multiply the numbers
More Steps

Evaluate
232×322
Multiply the terms
2×2
Multiply the numbers
4
4−384
Calculate
−4384
k=−4384
Alternative Form
k≈−1.09488
Show Solution
