Question
Solve the equation
y=336
Alternative Form
y≈0.605707
Evaluate
9y2×y=2
Multiply
More Steps

Evaluate
9y2×y
Multiply the terms with the same base by adding their exponents
9y2+1
Add the numbers
9y3
9y3=2
Divide both sides
99y3=92
Divide the numbers
y3=92
Take the 3-th root on both sides of the equation
3y3=392
Calculate
y=392
Solution
More Steps

Evaluate
392
To take a root of a fraction,take the root of the numerator and denominator separately
3932
Multiply by the Conjugate
39×39232×392
Simplify
39×39232×333
Multiply the numbers
More Steps

Evaluate
32×333
Multiply the terms
36×3
Use the commutative property to reorder the terms
336
39×392336
Multiply the numbers
More Steps

Evaluate
39×392
The product of roots with the same index is equal to the root of the product
39×92
Calculate the product
393
Transform the expression
336
Reduce the index of the radical and exponent with 3
32
32336
Reduce the fraction
More Steps

Evaluate
323
Use the product rule aman=an−m to simplify the expression
32−11
Subtract the terms
311
Simplify
31
336
y=336
Alternative Form
y≈0.605707
Show Solution
