Question
Simplify the expression
4024m3−1
Evaluate
m3×4024−1
Solution
4024m3−1
Show Solution

Find the roots
m=100635032
Alternative Form
m≈0.062871
Evaluate
m3×4024−1
To find the roots of the expression,set the expression equal to 0
m3×4024−1=0
Use the commutative property to reorder the terms
4024m3−1=0
Move the constant to the right-hand side and change its sign
4024m3=0+1
Removing 0 doesn't change the value,so remove it from the expression
4024m3=1
Divide both sides
40244024m3=40241
Divide the numbers
m3=40241
Take the 3-th root on both sides of the equation
3m3=340241
Calculate
m=340241
Solution
More Steps

Evaluate
340241
To take a root of a fraction,take the root of the numerator and denominator separately
3402431
Simplify the radical expression
340241
Simplify the radical expression
More Steps

Evaluate
34024
Write the expression as a product where the root of one of the factors can be evaluated
38×503
Write the number in exponential form with the base of 2
323×503
The root of a product is equal to the product of the roots of each factor
323×3503
Reduce the index of the radical and exponent with 3
23503
235031
Multiply by the Conjugate
23503×3503235032
Multiply the numbers
More Steps

Evaluate
23503×35032
Multiply the terms
2×503
Multiply the terms
1006
100635032
m=100635032
Alternative Form
m≈0.062871
Show Solution
