Question
Solve the equation
x=3537350
Alternative Form
x≈0.555513
Evaluate
5x2×7x=6
Multiply
More Steps

Evaluate
5x2×7x
Multiply the terms
35x2×x
Multiply the terms with the same base by adding their exponents
35x2+1
Add the numbers
35x3
35x3=6
Divide both sides
3535x3=356
Divide the numbers
x3=356
Take the 3-th root on both sides of the equation
3x3=3356
Calculate
x=3356
Solution
More Steps

Evaluate
3356
To take a root of a fraction,take the root of the numerator and denominator separately
33536
Multiply by the Conjugate
335×335236×3352
Simplify
335×335236×31225
Multiply the numbers
More Steps

Evaluate
36×31225
The product of roots with the same index is equal to the root of the product
36×1225
Calculate the product
37350
335×335237350
Multiply the numbers
More Steps

Evaluate
335×3352
The product of roots with the same index is equal to the root of the product
335×352
Calculate the product
3353
Reduce the index of the radical and exponent with 3
35
3537350
x=3537350
Alternative Form
x≈0.555513
Show Solution
