Question
Solve the equation
x=103100
Alternative Form
x≈0.464159
Evaluate
8x2×10x−8=0
Multiply
More Steps

Evaluate
8x2×10x
Multiply the terms
80x2×x
Multiply the terms with the same base by adding their exponents
80x2+1
Add the numbers
80x3
80x3−8=0
Move the constant to the right-hand side and change its sign
80x3=0+8
Removing 0 doesn't change the value,so remove it from the expression
80x3=8
Divide both sides
8080x3=808
Divide the numbers
x3=808
Cancel out the common factor 8
x3=101
Take the 3-th root on both sides of the equation
3x3=3101
Calculate
x=3101
Solution
More Steps

Evaluate
3101
To take a root of a fraction,take the root of the numerator and denominator separately
31031
Simplify the radical expression
3101
Multiply by the Conjugate
310×31023102
Simplify
310×31023100
Multiply the numbers
More Steps

Evaluate
310×3102
The product of roots with the same index is equal to the root of the product
310×102
Calculate the product
3103
Reduce the index of the radical and exponent with 3
10
103100
x=103100
Alternative Form
x≈0.464159
Show Solution
