Solve m^34024-1 - ScanMath

Question

Simplify the expression

4024 m^{3} - 1

Evaluate

m^{3} \times 4024 - 1

Solution

4024 m^{3} - 1

Show Solution

m = \frac{3 50 3 ^{2}}{1006}

Alternative Form

m \approx 0.062871

Evaluate

m^{3} \times 4024 - 1

To find the roots of the expression,set the expression equal to 0

m^{3} \times 4024 - 1 = 0

Use the commutative property to reorder the terms

4024 m^{3} - 1 = 0

Move the constant to the right-hand side and change its sign

4024 m^{3} = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

4024 m^{3} = 1

Divide both sides

\frac{4024 m ^{3}}{4024} = \frac{1}{4024}

Divide the numbers

m^{3} = \frac{1}{4024}

Take the 3 -th root on both sides of the equation

3 m^{3} = 3 \frac{1}{4024}

Calculate

m = 3 \frac{1}{4024}

Solution

More Steps

Evaluate

3 \frac{1}{4024}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 1}{3 4024}

Simplify the radical expression

\frac{1}{3 4024}

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

3 8 \times 503

Write the number in exponential form with the base of 2

3 2^{3} \times 503

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 3503

Reduce the index of the radical and exponent with 3

23503

\frac{1}{2 3 503}

Multiply by the Conjugate

\frac{3 50 3 ^{2}}{2 3 503 \times 3 50 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

23503 \times 3 50 3^{2}

Multiply the terms

2 \times 503

Multiply the terms

1006

\frac{3 50 3 ^{2}}{1006}

m = \frac{3 50 3 ^{2}}{1006}

Alternative Form

m \approx 0.062871

Show Solution