Question
Solve the equation
m=23132
Alternative Form
m≈2.545822
Evaluate
m2×2m=33
Multiply
More Steps

Evaluate
m2×2m
Multiply the terms with the same base by adding their exponents
m2+1×2
Add the numbers
m3×2
Use the commutative property to reorder the terms
2m3
2m3=33
Divide both sides
22m3=233
Divide the numbers
m3=233
Take the 3-th root on both sides of the equation
3m3=3233
Calculate
m=3233
Solution
More Steps

Evaluate
3233
To take a root of a fraction,take the root of the numerator and denominator separately
32333
Multiply by the Conjugate
32×322333×322
Simplify
32×322333×34
Multiply the numbers
More Steps

Evaluate
333×34
The product of roots with the same index is equal to the root of the product
333×4
Calculate the product
3132
32×3223132
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
23132
m=23132
Alternative Form
m≈2.545822
Show Solution
