Question
Solve the equation
w=63444
Alternative Form
w≈1.271481
Evaluate
2w2×18w=74
Multiply
More Steps

Evaluate
2w2×18w
Multiply the terms
36w2×w
Multiply the terms with the same base by adding their exponents
36w2+1
Add the numbers
36w3
36w3=74
Divide both sides
3636w3=3674
Divide the numbers
w3=3674
Cancel out the common factor 2
w3=1837
Take the 3-th root on both sides of the equation
3w3=31837
Calculate
w=31837
Solution
More Steps

Evaluate
31837
To take a root of a fraction,take the root of the numerator and denominator separately
318337
Multiply by the Conjugate
318×3182337×3182
Simplify
318×3182337×3312
Multiply the numbers
More Steps

Evaluate
337×3312
Multiply the terms
3444×3
Use the commutative property to reorder the terms
33444
318×318233444
Multiply the numbers
More Steps

Evaluate
318×3182
The product of roots with the same index is equal to the root of the product
318×182
Calculate the product
3183
Reduce the index of the radical and exponent with 3
18
1833444
Cancel out the common factor 3
63444
w=63444
Alternative Form
w≈1.271481
Show Solution
