Question
Solve the equation
x=103300
Alternative Form
x≈0.669433
Evaluate
x2×10x=3
Multiply
More Steps

Evaluate
x2×10x
Multiply the terms with the same base by adding their exponents
x2+1×10
Add the numbers
x3×10
Use the commutative property to reorder the terms
10x3
10x3=3
Divide both sides
1010x3=103
Divide the numbers
x3=103
Take the 3-th root on both sides of the equation
3x3=3103
Calculate
x=3103
Solution
More Steps

Evaluate
3103
To take a root of a fraction,take the root of the numerator and denominator separately
31033
Multiply by the Conjugate
310×310233×3102
Simplify
310×310233×3100
Multiply the numbers
More Steps

Evaluate
33×3100
The product of roots with the same index is equal to the root of the product
33×100
Calculate the product
3300
310×31023300
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
103300
x=103300
Alternative Form
x≈0.669433
Show Solution
