Question
Solve the equation
x=39315210
Alternative Form
x≈0.635299
Evaluate
3x2×13x=10
Multiply
More Steps

Evaluate
3x2×13x
Multiply the terms
39x2×x
Multiply the terms with the same base by adding their exponents
39x2+1
Add the numbers
39x3
39x3=10
Divide both sides
3939x3=3910
Divide the numbers
x3=3910
Take the 3-th root on both sides of the equation
3x3=33910
Calculate
x=33910
Solution
More Steps

Evaluate
33910
To take a root of a fraction,take the root of the numerator and denominator separately
339310
Multiply by the Conjugate
339×3392310×3392
Simplify
339×3392310×31521
Multiply the numbers
More Steps

Evaluate
310×31521
The product of roots with the same index is equal to the root of the product
310×1521
Calculate the product
315210
339×3392315210
Multiply the numbers
More Steps

Evaluate
339×3392
The product of roots with the same index is equal to the root of the product
339×392
Calculate the product
3393
Reduce the index of the radical and exponent with 3
39
39315210
x=39315210
Alternative Form
x≈0.635299
Show Solution
