Question
Solve the equation
x=1438820
Alternative Form
x≈1.475802
Evaluate
x×4x2×7=90
Multiply
More Steps

Evaluate
x×4x2×7
Multiply the terms with the same base by adding their exponents
x1+2×4×7
Add the numbers
x3×4×7
Multiply the terms
x3×28
Use the commutative property to reorder the terms
28x3
28x3=90
Divide both sides
2828x3=2890
Divide the numbers
x3=2890
Cancel out the common factor 2
x3=1445
Take the 3-th root on both sides of the equation
3x3=31445
Calculate
x=31445
Solution
More Steps

Evaluate
31445
To take a root of a fraction,take the root of the numerator and denominator separately
314345
Multiply by the Conjugate
314×3142345×3142
Simplify
314×3142345×3196
Multiply the numbers
More Steps

Evaluate
345×3196
The product of roots with the same index is equal to the root of the product
345×196
Calculate the product
38820
314×314238820
Multiply the numbers
More Steps

Evaluate
314×3142
The product of roots with the same index is equal to the root of the product
314×142
Calculate the product
3143
Reduce the index of the radical and exponent with 3
14
1438820
x=1438820
Alternative Form
x≈1.475802
Show Solution
