Solve m^39-20019 - ScanMath

Question

Simplify the expression

9 m^{3} - 20019

Evaluate

m^{3} \times 9 - 20019

Solution

9 m^{3} - 20019

Show Solution

3 (3 m^{3} - 6673)

Evaluate

m^{3} \times 9 - 20019

Use the commutative property to reorder the terms

9 m^{3} - 20019

Solution

3 (3 m^{3} - 6673)

Show Solution

m = \frac{3 60057}{3}

Alternative Form

m \approx 13.05369

Evaluate

m^{3} \times 9 - 20019

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

m^{3} \times 9 - 20019 = 0

Use the commutative property to reorder the terms

9 m^{3} - 20019 = 0

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

9 m^{3} = 0 + 20019

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

9 m^{3} = 20019

Divide both sides

\frac{9 m ^{3}}{9} = \frac{20019}{9}

Divide the numbers

m^{3} = \frac{20019}{9}

Cancel out the common factor 3

m^{3} = \frac{6673}{3}

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

3 m^{3} = 3 \frac{6673}{3}

Calculate

m = 3 \frac{6673}{3}

Solution

More Steps

Evaluate

3 \frac{6673}{3}

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

\frac{3 6673}{3 3}

Multiply by the Conjugate

\frac{3 6673 \times 3 3 ^{2}}{3 3 \times 3 3 ^{2}}

Simplify

\frac{3 6673 \times 3 9}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

36673 \times 39

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

3 6673 \times 9

Calculate the product

360057

\frac{3 60057}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 3 3^{2}

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

3 3 \times 3^{2}

Calculate the product

3 3^{3}

Reduce the index of the radical and exponent with 3

3

\frac{3 60057}{3}

m = \frac{3 60057}{3}

Alternative Form

m \approx 13.05369

Show Solution