Question
Solve the equation
x=354050
Alternative Form
x≈1.755374
Evaluate
100=6x3×x×x
Multiply
More Steps

Evaluate
6x3×x×x
Multiply the terms with the same base by adding their exponents
6x3+1+1
Add the numbers
6x5
100=6x5
Swap the sides of the equation
6x5=100
Divide both sides
66x5=6100
Divide the numbers
x5=6100
Cancel out the common factor 2
x5=350
Take the 5-th root on both sides of the equation
5x5=5350
Calculate
x=5350
Solution
More Steps

Evaluate
5350
To take a root of a fraction,take the root of the numerator and denominator separately
53550
Multiply by the Conjugate
53×534550×534
Simplify
53×534550×581
Multiply the numbers
More Steps

Evaluate
550×581
The product of roots with the same index is equal to the root of the product
550×81
Calculate the product
54050
53×53454050
Multiply the numbers
More Steps

Evaluate
53×534
The product of roots with the same index is equal to the root of the product
53×34
Calculate the product
535
Reduce the index of the radical and exponent with 5
3
354050
x=354050
Alternative Form
x≈1.755374
Show Solution
