Question
Solve the equation
k=−6336
Alternative Form
k≈−0.550321
Evaluate
k2×6k=−1
Multiply
More Steps

Evaluate
k2×6k
Multiply the terms with the same base by adding their exponents
k2+1×6
Add the numbers
k3×6
Use the commutative property to reorder the terms
6k3
6k3=−1
Divide both sides
66k3=6−1
Divide the numbers
k3=6−1
Use b−a=−ba=−ba to rewrite the fraction
k3=−61
Take the 3-th root on both sides of the equation
3k3=3−61
Calculate
k=3−61
Solution
More Steps

Evaluate
3−61
An odd root of a negative radicand is always a negative
−361
To take a root of a fraction,take the root of the numerator and denominator separately
−3631
Simplify the radical expression
−361
Multiply by the Conjugate
36×362−362
Simplify
36×362−336
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
6−336
Calculate
−6336
k=−6336
Alternative Form
k≈−0.550321
Show Solution
