Solve m^39006/25-23

Question

Simplify the expression

\frac{9006}{25} m^{3} - 23

Evaluate

m^{3} \times \frac{9006}{25} - 23

Solution

\frac{9006}{25} m^{3} - 23

Show Solution

\frac{1}{25} (9006 m^{3} - 575)

Evaluate

m^{3} \times \frac{9006}{25} - 23

Use the commutative property to reorder the terms

\frac{9006}{25} m^{3} - 23

Solution

\frac{1}{25} (9006 m^{3} - 575)

Show Solution

m = \frac{3 575 \times 900 6 ^{2}}{9006}

Alternative Form

m \approx 0.39968

Evaluate

m^{3} \times \frac{9006}{25} - 23

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

m^{3} \times \frac{9006}{25} - 23 = 0

Use the commutative property to reorder the terms

\frac{9006}{25} m^{3} - 23 = 0

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

\frac{9006}{25} m^{3} = 0 + 23

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

\frac{9006}{25} m^{3} = 23

Multiply by the reciprocal

\frac{9006}{25} m^{3} \times \frac{25}{9006} = 23 \times \frac{25}{9006}

Multiply

m^{3} = 23 \times \frac{25}{9006}

Multiply

More Steps

Evaluate

23 \times \frac{25}{9006}

Multiply the numbers

\frac{23 \times 25}{9006}

Multiply the numbers

\frac{575}{9006}

m^{3} = \frac{575}{9006}

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

3 m^{3} = 3 \frac{575}{9006}

Calculate

m = 3 \frac{575}{9006}

Solution

More Steps

Evaluate

3 \frac{575}{9006}

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

\frac{3 575}{3 9006}

Multiply by the Conjugate

\frac{3 575 \times 3 900 6 ^{2}}{3 9006 \times 3 900 6 ^{2}}

The product of roots with the same index is equal to the root of the product

\frac{3 575 \times 900 6 ^{2}}{3 9006 \times 3 900 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

39006 \times 3 900 6^{2}

The product of roots with the same index is equal to the root of the product

3 9006 \times 900 6^{2}

Calculate the product

3 900 6^{3}

Reduce the index of the radical and exponent with 3

9006

\frac{3 575 \times 900 6 ^{2}}{9006}

m = \frac{3 575 \times 900 6 ^{2}}{9006}

Alternative Form

m \approx 0.39968

Show Solution