Question
Solve the equation
m=3239
Alternative Form
m≈1.386723
Evaluate
m2×6m−16=0
Multiply
More Steps

Evaluate
m2×6m
Multiply the terms with the same base by adding their exponents
m2+1×6
Add the numbers
m3×6
Use the commutative property to reorder the terms
6m3
6m3−16=0
Move the constant to the right-hand side and change its sign
6m3=0+16
Removing 0 doesn't change the value,so remove it from the expression
6m3=16
Divide both sides
66m3=616
Divide the numbers
m3=616
Cancel out the common factor 2
m3=38
Take the 3-th root on both sides of the equation
3m3=338
Calculate
m=338
Solution
More Steps

Evaluate
338
To take a root of a fraction,take the root of the numerator and denominator separately
3338
Simplify the radical expression
More Steps

Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
332
Multiply by the Conjugate
33×3322332
Simplify
33×332239
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
3239
m=3239
Alternative Form
m≈1.386723
Show Solution
