Question
Solve the equation
k=63234
Alternative Form
k≈1.02704
Evaluate
k2×12k=13
Multiply
More Steps

Evaluate
k2×12k
Multiply the terms with the same base by adding their exponents
k2+1×12
Add the numbers
k3×12
Use the commutative property to reorder the terms
12k3
12k3=13
Divide both sides
1212k3=1213
Divide the numbers
k3=1213
Take the 3-th root on both sides of the equation
3k3=31213
Calculate
k=31213
Solution
More Steps

Evaluate
31213
To take a root of a fraction,take the root of the numerator and denominator separately
312313
Multiply by the Conjugate
312×3122313×3122
Simplify
312×3122313×2318
Multiply the numbers
More Steps

Evaluate
313×2318
Multiply the terms
3234×2
Use the commutative property to reorder the terms
23234
312×312223234
Multiply the numbers
More Steps

Evaluate
312×3122
The product of roots with the same index is equal to the root of the product
312×122
Calculate the product
3123
Reduce the index of the radical and exponent with 3
12
1223234
Cancel out the common factor 2
63234
k=63234
Alternative Form
k≈1.02704
Show Solution
