Question
Solve the equation
a=332
Alternative Form
a≈3.779763
Evaluate
2a2×3a−324=0
Multiply
More Steps

Evaluate
2a2×3a
Multiply the terms
6a2×a
Multiply the terms with the same base by adding their exponents
6a2+1
Add the numbers
6a3
6a3−324=0
Move the constant to the right-hand side and change its sign
6a3=0+324
Removing 0 doesn't change the value,so remove it from the expression
6a3=324
Divide both sides
66a3=6324
Divide the numbers
a3=6324
Divide the numbers
More Steps

Evaluate
6324
Reduce the numbers
154
Calculate
54
a3=54
Take the 3-th root on both sides of the equation
3a3=354
Calculate
a=354
Solution
More Steps

Evaluate
354
Write the expression as a product where the root of one of the factors can be evaluated
327×2
Write the number in exponential form with the base of 3
333×2
The root of a product is equal to the product of the roots of each factor
333×32
Reduce the index of the radical and exponent with 3
332
a=332
Alternative Form
a≈3.779763
Show Solution
