Question
Solve the equation
k=303900
Alternative Form
k≈0.32183
Evaluate
10k2×3k−1=0
Multiply
More Steps

Evaluate
10k2×3k
Multiply the terms
30k2×k
Multiply the terms with the same base by adding their exponents
30k2+1
Add the numbers
30k3
30k3−1=0
Move the constant to the right-hand side and change its sign
30k3=0+1
Removing 0 doesn't change the value,so remove it from the expression
30k3=1
Divide both sides
3030k3=301
Divide the numbers
k3=301
Take the 3-th root on both sides of the equation
3k3=3301
Calculate
k=3301
Solution
More Steps

Evaluate
3301
To take a root of a fraction,take the root of the numerator and denominator separately
33031
Simplify the radical expression
3301
Multiply by the Conjugate
330×33023302
Simplify
330×33023900
Multiply the numbers
More Steps

Evaluate
330×3302
The product of roots with the same index is equal to the root of the product
330×302
Calculate the product
3303
Reduce the index of the radical and exponent with 3
30
303900
k=303900
Alternative Form
k≈0.32183
Show Solution
