Question
Solve the equation
a=631638
Alternative Form
a≈1.964657
Evaluate
a2×12a−86=5
Multiply
More Steps

Evaluate
a2×12a
Multiply the terms with the same base by adding their exponents
a2+1×12
Add the numbers
a3×12
Use the commutative property to reorder the terms
12a3
12a3−86=5
Move the constant to the right-hand side and change its sign
12a3=5+86
Add the numbers
12a3=91
Divide both sides
1212a3=1291
Divide the numbers
a3=1291
Take the 3-th root on both sides of the equation
3a3=31291
Calculate
a=31291
Solution
More Steps

Evaluate
31291
To take a root of a fraction,take the root of the numerator and denominator separately
312391
Multiply by the Conjugate
312×3122391×3122
Simplify
312×3122391×2318
Multiply the numbers
More Steps

Evaluate
391×2318
Multiply the terms
31638×2
Use the commutative property to reorder the terms
231638
312×3122231638
Multiply the numbers
More Steps

Evaluate
312×3122
The product of roots with the same index is equal to the root of the product
312×122
Calculate the product
3123
Reduce the index of the radical and exponent with 3
12
12231638
Cancel out the common factor 2
631638
a=631638
Alternative Form
a≈1.964657
Show Solution
