Solve m^39014/5-2231 - Socratic AI (ScanMath)

Question

Simplify the expression

\frac{9014}{5} m^{3} - 2231

Evaluate

m^{3} \times \frac{9014}{5} - 2231

Solution

\frac{9014}{5} m^{3} - 2231

Show Solution

\frac{1}{5} (9014 m^{3} - 11155)

Evaluate

m^{3} \times \frac{9014}{5} - 2231

Use the commutative property to reorder the terms

\frac{9014}{5} m^{3} - 2231

Solution

\frac{1}{5} (9014 m^{3} - 11155)

Show Solution

m = \frac{3 11155 \times 901 4 ^{2}}{9014}

Alternative Form

m \approx 1.07362

Evaluate

m^{3} \times \frac{9014}{5} - 2231

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

m^{3} \times \frac{9014}{5} - 2231 = 0

Use the commutative property to reorder the terms

\frac{9014}{5} m^{3} - 2231 = 0

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

\frac{9014}{5} m^{3} = 0 + 2231

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

\frac{9014}{5} m^{3} = 2231

Multiply by the reciprocal

\frac{9014}{5} m^{3} \times \frac{5}{9014} = 2231 \times \frac{5}{9014}

Multiply

m^{3} = 2231 \times \frac{5}{9014}

Multiply

More Steps

Evaluate

2231 \times \frac{5}{9014}

Multiply the numbers

\frac{2231 \times 5}{9014}

Multiply the numbers

\frac{11155}{9014}

m^{3} = \frac{11155}{9014}

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

3 m^{3} = 3 \frac{11155}{9014}

Calculate

m = 3 \frac{11155}{9014}

Solution

More Steps

Evaluate

3 \frac{11155}{9014}

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

\frac{3 11155}{3 9014}

Multiply by the Conjugate

\frac{3 11155 \times 3 901 4 ^{2}}{3 9014 \times 3 901 4 ^{2}}

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

\frac{3 11155 \times 901 4 ^{2}}{3 9014 \times 3 901 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

39014 \times 3 901 4^{2}

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

3 9014 \times 901 4^{2}

Calculate the product

3 901 4^{3}

Reduce the index of the radical and exponent with 3

9014

\frac{3 11155 \times 901 4 ^{2}}{9014}

m = \frac{3 11155 \times 901 4 ^{2}}{9014}

Alternative Form

m \approx 1.07362

Show Solution